1) A car traveling with a velocity 80 km/hour slows down at a constant 0.8m/sec2 just by "letting up on the gas." Calculate (a) the distance the car coasts before it stops, (b) the time it takes to stop, and (c) the distance it travels during the first and fifth seconds.
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- 12. Car B is traveling a distance d ahead of car A. Both cars are traveling at 60 t%s when the driver of B suddenly applies the brakes, causing his car to decelerate at 12 /32. It takes the driver of car A 0.75 s to react (this is the normal reaction time for drivers). When he applies his brakes, he decelerates at 151/,2. Determine the minimum distance d be tween the cars so as to avoid a collision. (Practice at Home) A BThe person realizes they are holding back traffic at 60.0 mph instead of the posted speed limit of 70.0 mph. To stop holding back traffic, the person accelerates to 70.0 mph throughout a time of 8.00s Determine: (a) The acceleration throughout the 8.00s accelerating time interval in S.I. units (b) The distance traveled, in terms of number of light post, throughout the 8.00s accelerating time interval (c) Use one of the first kinematic equations to state the proportional relationship between distance and timeConsider a partide moving along The x-axIs. Lis position is given by function x= (5.0mls) (b-t)² where tis measured in peconds and b= 20 seconds. a) what is the average velocity in the time interval fom t=0s to t-40s? b) what is the instantaneous velocity af t=3.0s? C) Instantoueous acceleration at t d) what is the distance This pamde covers trom 3.0s t=Os to t=4s? e) Average spead from t=Os to += 40s)
- (a) Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time given in the following figure Velocity v Acceleration a Acceleration a Time t Acceleration a ZW-W Time O MacBook Air Acceleration a Time ( ASR-TUUR TEACHER Time1. A car is moving at uniform acceleration. Its velocity after traveling for 2 seconds is 4m/sand is found 12 meters from where it started. If the car’s velocity at 5 seconds is 10 m/s,determine (a) the car’s acceleration, (b) its displacement at t = 5 seconds measuredfrom its starting point and (c) its velocity at the start.In 1967, New Zealander Burt Munro set the world record for an Indian motorcycle, on the Bonneville Salt Flats in Utah, with a maximum speed of 183.58 mi/h. The one‐way course was 5.00 mi long. Acceleration rates are often described by the time it takes to reach 60.0 mi/h from rest. If this time was 4.00 s, and Burt accelerated at this rate until he reached his maximum speed, a. how long did it take Burt to complete the course? b. Sketch position vs time, velocity vs. time, and acceleration vs. time graphs for the race.
- b) A drunken motorist who is moving at a constant velocity of 25 ms' passes a stationary police patrol car. The patrol car immediately gives a chase at a constant acceleration and catches up with the motorist after a distance of 5 km. Calculate: i. the time taken by a patrol car to catch up with the motorist. ii. the acceleration of the patrol car.Grant is an overzealous new driver, out for the first time without his mom. He stopped at a red lght on a country road-when the light turns green he takes off with an acceleration of 3.0 m/s^2. He manages to accelerate up to 30 m/s and travels at this top speed for three seconds before realizing he is approaching another red light. He immediatlely hits the brakes and slows to a stop in 7 seconds with constant acceleration. A. What is the car's acceleration while he is slowing down? B. Draw qualitatively accurate position, velocity, and acceleration graphs for Grant's motion. Your graph axes should mimic those below (one graph should be y axis as distance (x) and x axis time) (2nd graph should be y axis velocity and x-axis time) 3rd graph should be y axis acceleration and x axis time) C. What is the total distance that Grant travels between the two stop lights?1) Billy Bob drives 35.6km to work each day (down at the call center where he makes up random answers to people's internet problems), at 25.0m/s (ignore speeding up and slowing down; BillyBob belives in "pedal to the metal" and he doesn't believe in stop signs.) As the crow flies, he lives 17.66km due North from where he works. What is his average velocity on his drive to work?
- 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.4. An Auto starts from rest and comes to a stop % mile away. If its acceleration and deceleration are limited to 20fps' and 30fps respectively, what maximum speed does it reach if the elapsed time is to be as small as possible? In addition, what is the displacement when it reach the maximum speed?5) A rugby ball on Mars, where the acceleration due to gravity is 0.379g and air resistance is negligible, is hit directly upward and returns to the same level 9.25 sec later. (a) How fast was it moving just after being hit in ft/sec? (b) How high above its original point did the ball go just before it fell back in feet?