Question

A car travelling at 40 km/h speeds upto 50 km/h in 4 seconds . Calculate the acceleration of the car .

Answer 1

u=40km/h=40×5/18=100/9m/s
v=50km/h=50×5/18=125/9m/s
t=4sec.
a=v-u/t
a=(125/9-100/9)/4
a=(25/9)/4
a=25/9×4
a=25/36
[a=0.69m/s²] ANSWER..
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Answer 2

Concept:

Acceleration is the change in speed in per unit time.

Given:

Initial car speed = 40 Km/hr

Final car speed = 50 Km/hr

Time interval = 4 seconds

Find:

Acceleration of the car

Solution:

Initial car speed = 40 Km/hr

Final car speed = 50 Km/hr

We have to convert it in m/s with the help of below formula

Speed in m/s = Speed in Km/hr × (5/18)

So, Initial speed of car = 40 × (5/18) m/s  

Initial speed of car = 11.11 m/s  

Final speed of car = 50 × (5/18) m/s

Final speed of car = 13.88 m/s

Acceleration = ( final speed - initial speed ) / time

Acceleration = ( 13.88 - 11.11 ) / 4   m/s²

Acceleration = 0.6925   m/s²

Hence, the acceleration of the car is  0.6925 m/s².

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