Answered: A car accelerates uniformly from rest…

A car accelerates uniformly from rest to a speed of 20.0 m/s in 12.0 seconds. Find a) the distance the car travels (in meters) during this time and b) the constant acceleration of the car

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 39P: A steam catapult launches a jet aircraft from the aircraft carrier John C. Stennis, giving it a...

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Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

A car accelerates uniformly from rest to a speed of 20.0 m/s in 12.0 seconds.

Find

a) the distance the car travels (in meters) during this time and

b) the constant acceleration of the car.

Expert Solution

Step 1

Let's use the kinematic equation in terms of initial, final velocities, time, and acceleration.

$\begin{array}{rcl} V_{f} & = & V_{i} + a t \\ Since, V_{i} & = & 0 \\ (20.0 m / s) & = & 0 + a (12.0 s) \\ a & = & \frac{(20.0 m / s)}{(12.0 s)} \\ a & = & 1.67 m / s^{2} \end{array}$

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