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Chapter 2: Q.76 (page 63)

In the problem, you are given the kinematic equation that are used to solve a problem.

  1. Write a realistic problem for which this is the correct equation. Be sure that the answer your problem requests is consistent with the equation given.
  2. Draw the pictorial presentation for your problem.
  3. Finish the solution of the problem.

64m=0m+32m/s4s-0s+12ax4s-0s2

Short Answer

Expert verified

Consider a motorcar joins a highway at 32 m/s. A bus travelling on the highway in the fast lane is 64 m ahead of the junction 4s later. Calculate the acceleration of the motorcar if it is assumed to be uniform and the motorcar is alongside the bus at this instant in time 4s after joining.

Step by step solution

01

Write the realistic problem representing the given equation:

Consider a motorcar joins a highway at 32 m/s. A bus travelling on the highway in the fast lane is 64 m ahead of the junction 4s later. Calculate the acceleration of the motorcar if it is assumed to be uniform and the motorcar is alongside the bus at this instant in time 4s after joining.

02

Pictorial presentation of the given problem:

03

Solving the given equation for ax:

64m=128m+12ax168ax=64-128ax=-8m/s2

Therefore, the given acceleration is decelerating.

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