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: While curling, you push a rock for 2.50 m and release it when it has a speed of 1.60 m/s. It…

A: Using 3rd kinematic equation: V2 =U2 +2ad a = deceleration of rock = ? U = Initial speed of rock…

Q: A lead ball is dropped in a lake from a diving board 4.80 m above the water. It hits the water with…

A: Write the given values with the suitable variables. h=4.80 mt=5.50 s Here, h is the height of the…

Q: A car starts from a state of rest and drives along a level, straight road. For the first 30 s, the…

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Q: Suppose an object has an acceleration of ā = 2.0 tî. What will its velocity be after 10.0s if it…

A: Given data The equation of the acceleration is given as a→=2 m/s2ti^. The time duration is given as…

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 stone is dropped from rest from the top of a high rise. It takes t=3.4s for it to reach the…

A: The displacement is Y Acceleration is a Time period T Initial velocity Vi The expression of…

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: You throw a ball straight up with an initial velocity of 15.4 m/s. It passes a tree branch on the…

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

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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: object is thrown into the air with initial velocity v = 5m/s. After being released it is only…

A: Initial velocity v = 5m/s. a = -9.81m/s2We need to find time taken in reaching maximum height.

Q: A rocket blasts off vertically from rest on the launch pad with a constant upward acceleration of…

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

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Q: velocity

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

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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: Part (a) What is the velocity of Car A? Part (b) What is the final velocity of Car B? What is the…

A: Part A. Distance traveled by both A and B= d = 223 m time taken by both A and B = t = 19.5 s…

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

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

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

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

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Q: Two vehicles are initially at rest. Car A starts a distance behind Car B. Both vehicles start…

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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 –