A runner in 120-m race constantly accelerates for the first 20 m. and then runs with a uniform velocity after. If the runner's time for the first 20 m is 3seconds. Determine: (a) his acceleration (m/s^2) (b) his final velocity (m/s) (c) his total time for the race (s).

A runner in 120-m race constantly accelerates for the first 20 m. and then runs with a uniform velocity after. If the runner's time for the first 20 m is 3seconds. Determine: (a) his acceleration (m/s^2) (b) his final velocity (m/s) (c) his total time for the race (s).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A sprinter in a 200-m race accelerates uniformly for the first 45 m and then runs with constant…

A: The initial velocity of the sprinter is u = 0 m/s. The total distance of the race is S = 200 m. The…

Q: The velocity – time curve for a point moving on a straight line is given by the equation: v =…

Q: If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, it height in feet…

A: Given Data The initial velocity of the ball is v = 70 ft/s. The height equation is given as y = 70t…

Q: At a football tryout, a player runs a 40-yard dash in t2 = 4.00 seconds. If the reaches his maximum…

A: Answer

Q: Starting from rest at home plate, a baseball player runs to first base (90 ft away). He uniformly…

A: The initial velocity of the player u =0 ft/s The distance travelled with an acceleration s1 =11.5 ft…

Q: Let SA = 15t2 + 10t + 20 and SB = 5t2 + 40t, t greater than or equal to 0, be the position of cars A…

A: We have two cars A and B and their positions are given by SA=15t2+10t+20 and SB=5t2+40t. We need…

Q: A ball starts, from rest, and rolls down a hill, with uniform acceleration, traveling 100m, during…

A: Given: initial velocity, u = 0 m/s distance traveled in second 2.4 s is 100m

Q: An express train passes through a station that is 212 m long. It enters with an initial speed of…

A: length of station (L) = 212 m Initial speed of train (u) = 22.5 msacceleration (a) = -0.13 ms2

Q: A vehicle is running with uniform acceleration covers 450 m in a 5 second interval and further it…

A: Given data as per question initial distance = 450m time = 5s

Q: A particle moves along a straight line such that its position is defined by s = (t - 6t +5) m.…

A: solution: To be given in question position (s)= t²-6t+5…

Q: An object starts from rest and undergoes uniform acceleration. During the first second it travels 2…

Q: Gurl, same! An object moving in one dimension has the same initial and final velocities. Which of…

Q: The rectilinear motion of a body is given by the equation (S= V2 - 9), When (S) is in (m) and (V) in…

Q: A baseball is hit with a bat and, as a result, its direction is completely reversed and its speed is…

A: Given time of contact t=0.33s Initial speed V final speed -2V mass be m

Q: A football player has an initial speed of 8 m/s and is stopped by a defensive lineman in a time…

A: Initial speed (v) = 8 m/sfinal speed (V) = 0 m/stime taken = 0.2 seconds

Q: At a football tryout, a player runs a 40-yard dash in t2 = 5.00 seconds. If the reaches his maximum…

Q: At time t=0.00s a car is Traveling along a straight line at a speed of 20m/s with constant…

A: Given that Initial speed of car is u=20 ms Travelled distance by car is x=56.0 m Time taken to…

Q: During a braking test, a car is brought to rest beginning from an initial speed of 56 mi/hr in a…

Q: XIncorrect Starting from rest at home plate, a baseball player runs to first base (90 ft away). He…

Q: When it is possible to say that the value of average velocity is approximately the same as the…

Q: To stop the car, a car leaves a skid marks 200m long on the highway. Assuming a deceleration of…

A: Given:Initial velocity, Vi = 0m/s Acceleration, a = 7.5 m/s²Distance,d=200 mFind Final velocity,…

Q: The

Q: An object is subject to a constant acceleration of 4.36 m/s2 in the positive x direction. If it is…

A: Given- Acceleration a=4.36 m/s2 Time t= 6.99 s

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t² – 3t – 18,…

A: Displacement = -90 m

Q: One simple model for a person running the 100 m dash is to assume the sprinter runs with constant…

A: Given information: The maximum speed of the sprinter is 11.5 m/s, time taken to reach the maximum…

Q: 19. GO The initial velocity and acceleration of four moving objects at a given instant in time are…

Q: Object A starts from rest moving with a constant acceleration of 3.7 m/s?. At the same time object B…

A: The concept behind solving the question is to first find the time at which both the objects meet as…

Q: A particle moves along a straight line and its velocity depends on time t as v = 4t – t2. Here v is…

Q: An experimental rocket car starting from rest reaches a speed of 560 km/h after a straight 400-m…

Q: The velocity of a particle traveling along a straight line is v = (3t^2 - 6t) ft/s, where t is in…

A: Given: The velocity of the particle along the straight line = 3t2-6t ft/s

Q: Starting at timet t = 0 an object starts moving along a straight line. Its coordinate in meters is…

Q: A Boeing 747 airliner, initially at rest, undergoes a constant acceleration of 10 m/s2 down the…

A: Given data The acceleration of the airliner is a = 10 m/s2. The time is taken by the airliner is t =…

Q: The velocity of a particle is given by v(t) =t² - 2t. The position of the particle at the time t = 0…

Q: A car traveling in a straight line with an initial velocity of 10 m/s undergoes a constant…

A: Use the kinematic equation in terms of initial velocity, time, and distance covered. ∆x=vit+12at2

Q: An athlete sprints in a straight line for 50.0 m in 8.00 s, and then walks slowly back to the…

A: a) The required average sprint velocity is, b) The required average walking velocity is,

Q: A barge is being towed at 16 m/s when the towline breaks. It continues thereafter in a straight line…

A: Given: A barge is being towed at 16 m/s when the towline breaks. It continuesthereafter in a…

Q: The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s^2 ,…

A: Given : acceleration of a particle a = (2t - 1)m/s2 Initial s = 1m…

Q: A car racing in a 420m drag race starts from rest and accelerates uniformly to 34.0m/s in the first…

A: Given:length of the drag race (s) = 420 mInitial velocity of the car (u) = 0 m/sfinal velocity of…

Q: Can an object have zero velocity and nonzero acceleration at the same time? Give examples

A: zero velocity and nonzero acceleration

Q: A baseball is hit with a bat and, as a result, its direction is completely reversed and its speed is…

Q: A bicyclist starts a timed race at 5.0 mi/h, In order to win, his average velocity must be 25 mi/h.…

A: Since the acceleration is constant. This means the speed is increasing at a constant rate.…

Q: A police car is traveling at a velocity of 17.0 m/s due north, when a car zooms by at a constant…

A: Initial velocity of police car (u) = 17 m/s due north Constant velocity of zooming car (u') = 42…

Q: During a braking test, a car is brought to rest beginning from an initial speed of 52 mi/hr in a…

Q: a runner, from rest, in a 150m race accelerates uniformly for the first 23m then runs with constant…

Q: Part of Sam's journey is on the Freeway, where he maintains a constant average speed of 96 km/h for…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Concept explainers

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

A runner in 120-m race constantly
accelerates for the first 20 m. and then runs
with a uniform velocity after. If the runner's
time for the first 20 m is 3seconds.
Determine:
(a) his acceleration (m/s^2)
(b) his final velocity (m/s)
(c) his total time for the race (s).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A tennis ball is thrownvertically up and reached a maximum height of 45.6 m relative to the ground. Ifthe boy who threw the ball is on top of 43 m building, a) what was the initial velocity of the ball?b) what is the total time of flight of the ball if it missed the top of thebuilding and continuously fell to the ground? c) what is the balls final velocity before it reaches the ground?
1.2 Motion Along a Straight Line minute rest stop. If the person's average speed is 77.8 km/h. (a) how much time is spent on the trip and (b) how far does the person travel? 12t2- 2t3, where a 10. The position of a particle moving along an x axis is given by x = is in meters and t is in seconds. Determine: (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3.0 s. (d) What is the acceleration of the particle at the instant the particle is not moris (other than att = (e) Determine the average velocity of the particle between t = 0)? 0 and t 3 s.
An object is moving in the positive direction along thex - axis. Sketch plots of the object’s position vs. time and velocityvs. time if (a) its speed is constant, (b) it’s speeding up ata constant rate, and (c) it’s slowing down at a constant rate.
A football quarterback runs 13.7 m straight down the playing field in 2.50 s. He is then hit and pushed 3.00 m straight backward in 2.10 s. He breaks the tackle and runs straight forward another 18.3 m in 5.20 s. Calculate his average velocity for each of the three intervals and for the entire motion. (Define the positive direction to be the direction of initial motion.) What is his average velocity over the entire motion? AFCpERr I
A sprinter in a 100m race accelerates uniformly for the first 35 m and then runs with constant velocity. If the sprinter's time for the first 35 m is 5.4 s, determine (a) his acceleration on the first part of the race, (b) his final velocity, (c) his time for the race.
A rocket blasts off and moves straight upward from the launchpad with constant acceleration. After 2.8 s the rocket is at a heightof 91 m. (a) What are the magnitude and direction of the rocket’sacceleration? (b) What is its speed at this time?
Estimate the distance in feet that your car travels on the en-trance ramp to a freeway as it accelerates from 30 mph to the freeway speed of 70 mph. During this motion what is the average accelerationof the car? An antelope moving with constant acceleration covers the dis-tance between two points 70.0 m apart in 6.00 s. Its speed as it passes the second point is 15.0 m>s. What are (a) its speed at the first point and(b) its acceleration? A Tennis Serve. In the fastest measured tennis serve, the ball left the racquet at 73.14 m>s. A served tennis ball is typically in con-tact with the racquet for 30.0 ms and starts from rest. Assume constant acceleration. (a)What was the ball’s acceleration during this serve?(b) How far did the ball travel during the serve?
A football quarterback runs 15.0 m straight down theplaying field in 2.50 s. He is then hit and pushed 3.00 mstraight backward in 1.75 s. He breaks the tackle and runsstraight forward another 21.0 m in 5.20 s. Calculate hisaverage velocity (a) for each of the three intervals and (b) forthe entire motion
A car moving in a straight line accelerates from rest at a rate of 6.00 m/s², for 5.00 s. It then accelerates at a constant rate of -3.50 m/s², until it stops. The displacement during this time is m.
Problem 5. An object is moving with an initial position of 28m from the origin with aninitial velocity of −4m/s and constant acceleration of 8m/s2. (1) How fast is the bodymoving after 2s? (2) What is its position 3s after the start? (3) When will it be 36m fromthe origin?
Analysis Mo Constant Velocity 6. A car travels along a straight line at a constant speed of AMT 60.0 mi/h for a distance d and then another distance d in the same direction at another constant speed. The average velocity for the entire trip is 30.0 mi/h. (a) What is the con- stant speed with which the car moved during the second dis- tance d? (b) What If? Suppose the second distance d were traveled in the opposite direction; you forgot something and had to return home at the same constant speed as found in part (a). What is the average velocity for this trip? (c) What is the average speed for this new trip?
A car travels along a straight line at a constant spped of 60 mi/h for a distance d and then another distance d in the same direction at another constant speed. the average velocity for the entire trip os 30mi/h.what is the constant speed with which the car moved during the second distance d?