An object is moving along a number line and its position in time is determined by a cubic function s(t) where time, t, is in seconds and position, s, is in metres. The graph of s(t) is given below. 24 16 -8 -16 a. During what time interval(s) the object is moving in the negative direction of the number line? Justify your answer. b. At what time is the object momentarily at rest (motionless)? Justify your answer. c. During what time intervals is the velocity of the object negative? Justify your answer. d. During what time intervals is the velocity of the object increasing, i.e., the object is accelerating? Justify your answer.

An object is moving along a number line and its position in time is determined by a cubic function s(t) where time, t, is in seconds and position, s, is in metres. The graph of s(t) is given below. 24 16 -8 -16 a. During what time interval(s) the object is moving in the negative direction of the number line? Justify your answer. b. At what time is the object momentarily at rest (motionless)? Justify your answer. c. During what time intervals is the velocity of the object negative? Justify your answer. d. During what time intervals is the velocity of the object increasing, i.e., the object is accelerating? Justify your answer.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

For the position-time graph shown, pick the corresponding velocity-time graph. Velocity Position Time (s) Black dot line (right): Red dot line (left); Yellow solid line (right): Cyan dash line (left); Blue solid line (left): Time (s) Velocity Time (s)
Q1: 1 2 3 4 5 8 10 11 time (s) The above velocity- time graph for an object that moves as shown path. 1. Discuss the diagram. 2. Instantaneous acceleration after 1.5 second of staring. 3. The displacement during the first six seconds. 4. The acceleration last 2 seconds. velocity (m/s)
For the Following question Graph all 4 : [I just need all 4 graphs and please explain and make clean solution] Position vs time Velocity vs time Acceleration vs time Force vs time [For your convenience, I have solved the numerical solutions for the problem] (Please Look at the picture since it is much cleaner) Question : A 550 kilogram mass initially at rest acted upon by a force of F(t) = 50et Newtons. What are the acceleration, speed, and displacement of the mass at t = 4 second ? a =(50 e^t)/(550 ) [N/kg] v = ∫_0^t▒(50 e^t )dt/(550 )= v_0 +(50 e^t-50)/550=((e^t- 1))/11 x = ∫_0^t▒(e^t- 1)dt/(11 )= x_0 +(e^t- t - 1)/(11 ) a(4s)=(50*54.6)/550= 4.96[m/s^2 ] v(4s)=((e^4-1))/11= 4.87[m/s] x(4s)=((e^4- 4 - 1))/11= 4.51 [m]
The graph to the right shows velocity vs. time for a cart on a track with a friction pad attached. The cart was launched from rest by a hoop spring. Use this graph to answer the following question: so long as the ramp is level, even with the friction pad NOT in contact with the track it is impossible to produce a region "b" that is flat (horizontal), i.e. that shows a constant velocity. This is because b V a of errors inherent to the motion detector the acceler tion gravity causes the cart to rate air currents in the room significantly affect the motion of the cart there is still a small amount of friction between the wheels of the cart and the track, and the axels of the cart with the body of the cart achieving constant velocity is not physically realistic under any circumstances
O His movement stopped. O His time was constant. O His acceleration was positive. Question 6 Velocity vs Time Time (sec) Based on the graph of velocity over time, which could be the initial velocity and the final velocity for this graph? O initial = 2.5 m/s; final = 2.5 m/s O initial = 0 m/s; final = 2.5 m/s O initial = 3.0 m/s; final = 6.0 m/s O initial = 6.Om/s: final = 3.0 m/s Velocity (m/s)
A mechanic changing a tire rolls a wheel along the ground towards the car. The radius of the wheel is 42cm, and the speed of the wheel as it rolls is 2 revolutions per second. Height Above Ground (m) radiu HIDE wheel spet Time The diagram above illustrates the vertical motion of a point on the tire over time. It is possible to model the height of this point using a sinusoidal function of the form h(t)=-a sin[b(t-c)]+d. a) Determine the length of time required for one revolution of the tire. b) State the numerical value for each of the parameters a, b, c & d. And write a function representing the motion of the point in the form h(t)= -a sin[b(t−c)]+d.
docs.google.com a If a car changes speed from 20 m/s to 22 m/s in 10 seconds, its average acceleration is * 20 m/s2 2 m/s2 0.2 m/s2 22 m/s2 21 m/s2 Which of the following is considered to be an "accelerator" in an automobile? * All of them. gas pedal steering wheel brake pedal non of them On acceleration-time graph, a horizontal ... 10 O O O O O
On acceleration-time graph, a horizontal line indicates: * zero displacement constant velocity zero acceleration non of them constant acceleration
1. The wheel starts rotating from rest, 2) if its angular velocity Was a function of angular position 0 is W=0.1-0², where O is in radian, and its radius ris 0.2 m, what is the magnitude of the angular acceleration (in rad/s?) of the wheel after the wheel has turned 1.1 revolution(s) from rest. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. P
1a) Plot the position in the x-direction as a function of time for both birds on the same co-ordinatesystem (the plots do not have to be exact).b) Write down the equations of motion in x and y directions for bird 1 and 2. c)Using ?⃗ଵ(?) and ?⃗ଶ(?) to represent the position vector of birds 1 and 2, respectively, write downthe components of the position vector for both birds in parenthesis format.d) Write an equation using the tangent of the position vectors that describes when the huntershould release the arrow.e) Solve this equation for the time at which the hunter should release his arrow PLEASE explain, especially 1c, d, and e
Q1: The graph below shows the acceleration of a hydraulic elevator in a four story school building as a function of time. hydraulic elevator - acceleration (m/s²) vs. time (s) +0.8 +0.6 +0.4 +0.2 0 -0.2 -0.4 -0.6 -0.8 5 c. velocity-time d. position-time 10 15 The graph begins at t = 0 s when the elevator door closed on the second floor and ends at t = 20 s when the door opened on a different floor. Assume that the positive directions for displacement, velocity, and acceleration are upward. Determine... a. the maximum speed of the elevator b. the duration of the brief jerk experienced by the elevator centered on 17.5 s Sketch the corresponding graphs of... Determine... e. the most likely floor on which the elevator stopped 20
01: Select the right answer for the following: The graph below describes the relationship between velocity and time for a moving object. Use this graph for questions 1 through 6. v (m/s) Ar t (s) 11 1. What is the acceleration at time t= 1 s? (A) 4 m/s? (B) 2 m/s? (C) -2 m/s? (D) -4 m/s? 2. What is the acceleration at time t = 8 s? (A) 4 m/s2 (В) -2 m/'s (C) -4 m/s (D) 0 m/s² 3. What is the acceleration at time t = 6 s? (A) I m/s² (B) 2 m/s? (C) -4 m/s² (D) 0 m/s? 4. What is the total displacement for the entire trip? (A) 18 m (B) 12 m (C) 6 m (D) 30 m 5. What is the total traveled distance for the entire trip? (A) 18 m (В) 12 m (C) 6 m (D) 30 m 6. Between what times does the object approach the origin at the constant speed? (A) 2 sec to 5 sec (B) 6 sec to 7 sec (C) 7 sec to 9 sec (D) 9 sec to 10 sec 7. An object is dropped from rest from the top of a 400 m cliff on earth. If the air resistance is negligible, what is the distance the object travels during the first 6 sec of its fill?…