A runner accelerated from rest at x0 = 0m with a constant acceleration 2.0 m/s2 for 2.0 s and then kept running with his constant velocity for an additional 8.0 s. Assume that the runner moved in a straight line. a) How far did the runner move? b) What is his average speed? c) plot the motion graph of the position x(t), the velocity v(t), as well as the acceleration a(t) for the runner. Please mark on the motion graph the exact values of x(t), v(t), and a(t) at t = Os, 2s and 10s.

Q: A rock is thrown vertically upward from ground level at time t = 0. At t = 1.9 s it passes the top…

A: Given Information The rock is thrown upward from the ground level at time t=0 At t=1.9 s it passes…

Q: A football player, starting from rest at the line of scrimmage, accelerates along a straight line…

A: Acceleration is defined as the rate of change of velocity and velocity is defined as the rate of…

Q: At T=0, one toy car is set rolling on a straight track with an initial position of 0.13m, initial…

A: According to the Newton's laws of motion , the final velocity is calculated by using the formulas…

Q: A piece of stone thrown vertically upwards. It reaches the maximum height in 6 seconds.if the…

A: Given data:  A stone thrown vertically upward Time taken to reach maximum height (t) = 6 s…

Q: A model rocket is launched straight upward with an initial speed of 54.0 m/s. It accelerates with a…

A: The problem can be illustrated as:  * PART A: Since the rocket stopped, the speed of the rocket…

Q: A particle moves in a straight line with an initial velocity of 0 m/s and a constant acceleration of…

A: The equation of he kinematics, which relates the position, velocity , acceleration and the time for…

Q: The elevator in an office building starting from rest at the first floor accelerated 0.75m/s² for 5…

A: At what floor did the elevator stop. given, Initial speedu=0 ms-1accelerationa1=0.75 ms-2for…

Q: At time t=0.0 s a particle is located at x = 4.0 m and y = 1.0 m. The particle has an initial…

A: Given: Particle's initial position at time t=0 s is given as x=4 m and y=1 m. Particle's initial…

Q: A record of travel along a straight path is as follows: 1. Start from rest with constant…

A: (a) Displacement during leg 1 Displacement during leg 2 Displacement during leg 3

Q: model rocket is launched straight upward with an initial speed of 48.0 m/s. It accelerates with a…

A:

Q: The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis…

A: Initial velocity of particle =V0=9m/sas=13m/s2at t =-2s

Q: An object is initially at rest and subject to a constant acceleration of 1.77 m/s². What amount of…

A:

Q: A car has an initial speed of 15 m/s and a constant deceleration of 1.5 m/s2. Determine the velocity…

A: Given u = 15 m/s  a = - 1.5 m/s2    .........(deceleration)   t = 2 s    v = ?  From kinematics…

Q: model rocket is launched straight upward with an initial speed of 57.0 m/s. It accelerates with a…

A: Given data: Initial speed of Rocket = u = 57.0 m/s  Upward acceleration = a = 3.00 m/s2  Engine stop…

Q: A person walks first at a constant speed of 4.70 m/s along a straight line from point O to point B…

A:

Q: A collector of antique sports cars claims that her sports car will accelerate from rest to a speed…

A: The objective of this question is to calculate the average acceleration, distance travelled and the…

Q: A model rocket is launched straight upward with an initial speed of 58.0 m/s. It accelerates with a…

A:

Q: velocity

A:

Q: A very strong, but inept, shot putter puts the shot straight up vertically with an initial velocity…

A:

Q: A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the…

A: Calculate the distance travelled in order to arrive at a specified velocity with a given…

Q: A particle moves in a straight line with an initial velocity of 29.9 m/s and a constant acceleration…

A: A particle moves in a straight line with an initial velocity , and a constant acceleration  Time…

Q: A record of travel along a straight path is as follows: 1. Start from rest with constant…

A: a. the displacement during first leg is S1=v0t1+12at12=0t+122.1 m/s211 s2=127.05 m

Q: A runner can maintain a constant acceleration of 1.1m/s^2 for 8.5 seconds. What distance could the…

A: The kinematic energy, s=ut+12at2s=12at2

Q: An object moves with constant acceleration 4.80 m/s² and over a time interval reaches a final…

A:

Q: A model rocket is launched straight upward with an initial speed of 50.0m/s. It accelerates with a…

A:

Q: A cyclist due east accelerates at a constant 3.5.0m/s2 after leaving a sign-post. At the time, t=0…

A:

Q: A ball is thrown vertically upward with a speed of +16.0 m/s. (a) How high does it rise? (b) How…

A: Data Given,  Initial velocity ( u ) = 16 m/s  A ball is thrown vertically upward means there is only…

Q: A model rocket is launched straight upward with an initial speed of 45.0 m/s. It accelerates with a…

A: As per guidelines only 3 subparts are solved here. Given, A model rocket is launched straight upward…

Q: A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 m…

A: Given : initial velocity of the boat = 0 m/s Acceleration of the boat = 3 ms-2 Time period = 8s

Q: n ant moves with a uniform acceleration. It has a velocity of 12.0 cm/s in the positive x direction…

A: The velocity is always changing; there is always nonzero acceleration and the problem says it is…

Q: A record of travel along a straight path is as follows: 1. Start from rest with constant…

A:

Q: A wind-up toy car is released from rest. It accelerates up to a maximum speed over the first 2 m it…

A:

Q: You throw a ball straight up with an initial velocity of 16.2 m/s. It passes a tree branch on the…

A: We know ,  S = ut + 1/2 at²  6.75 m = 16.2t - 4.9t²  -4.9t² + 16.2t - 6.75 = 0  Finding roots ,

Q: record of travel along a straight path is as follows: 1. Start from rest with constant acceleration…

A:

Q: The velocity and acceleration of an object at a certain instant are i = (3.0 m/s)j %3D å = (5 m/s²)i…

A: The velocity of an object at a given instant = 3 ms j^The acceleration of an object at a given…

Q: A hot-air balloonist, rising vertically with a constant velocity of magnitude 5 m/s, releases a…

A:

Q: A model rocket is launched straight upward with an initial speed of 53.0 m/s. It accelerates with a…

A: a) Apply the third kinematic equation and substitute the required values to calculate the speed when…

Q: A football running back rushes 13 m straight down the playing field in 2.1 s (in the positive…

A: Given   Duration Displacement Interval 1 2.1 s +13 m Interval 2 1.95 s -3.5 m Interval 3…

Q: In a 25 storey building, the elevator starting from rest at first floor is accelerated at 0.8m/sec2…

A: The acceleration(a) is 0.8 m/sec2.The time (t1) is 5 sec.The time t2 is 10 sec.The time t3 is 3…

Q: A particle travels along a straight line such that in 4s it moves from an initial position SA =…

A: Calculate the total displacement of the particle. d=SC−SAd=1.75 m−1 md=0.75 m

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 –