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Chapter 2: Q17. (page 43)

A sports car accelerates from rest to 95 km/h in 4.3 s. What is its average acceleration in m/s2?

Short Answer

Expert verified

The acceleration of the car is 6.14鈥�ms2.

Step by step solution

01

Step 1. Conversion of the unit and the rule to find the acceleration

The acceleration of the body is defined as the derivative of the velocity of a body with respect to time. The unit of acceleration is m/s2.

Given data.

The initial velocity of the car was v1鈥�=鈥�0as it started from rest.

The final velocity of the car is v2鈥�=鈥�95鈥�kmh.

Now,

v2鈥�=鈥�95鈥�kmh=鈥�95鈥�kmh鈥�脳鈥�1000鈥�m1鈥�km鈥�脳鈥�1鈥�h3600鈥�s=鈥�26.4鈥�ms

The time taken by the car for this motion is 螖t鈥�=鈥�4.3鈥�s.

Rule.

You know that acceleration is

role="math" localid="1642764168067" a鈥�=鈥�v2鈥�-鈥�v1螖t鈥�(i).

02

Step 2. Calculation of the acceleration 

Now, substituting all the values in equation (i),

a鈥�=鈥�26.4鈥�ms鈥�-04.3鈥�s=鈥�6.14鈥�ms2

Therefore, the acceleration of the car is 6.14鈥�ms2.

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