A bus travelling steadily at 30 ms1 along a straight road passes a stationary car which, 5 s later, begins to move with a uniform acceleration of 2 ms2 in the same direction as the bus. Determine the time taken for the car to acquire the same velocity as the bus.

A bus travelling steadily at 30 ms1 along a straight road passes a stationary car which, 5 s later, begins to move with a uniform acceleration of 2 ms2 in the same direction as the bus. Determine the time taken for the car to acquire the same velocity as the bus.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 32P: A Lockheed Martin F-35 II lighting jet takes off from an aircraft carrier with a runway length of 90...

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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 bus travelling steadily at 30 ms1 along a straight road
passes a stationary car which, 5 s later, begins to move with
a uniform acceleration of 2 ms2 in the same direction as the
bus. Determine the time taken for the car to acquire the same
velocity as the bus.

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