Question

A car initially at rest picks up a velocity of 108km/hour in 0.5min calculate the acceleration of the car in S.I unit

Answer 1

$\textbf{ \huge{ Hello Mate! }}$

$\textsf{ \red{ What are S.I unit for speed and time? }}$

S.I unit for speed is m/s and for time is seconds.

$\textsf{ \red{ How to covert km/h into m/s? }}$

1 km = 1000 m and 1 hr = 60 × 60 seconds

= ( 1000 m ) / ( 60 × 60 )s

= 5 / 18 m/s

Now, coming onto question.

u = 0 ( rest )

v = 108 km/h or 108 × 5 / 18 m/s = 30 m/s

t = 0.5 min or 0.5 × 60 s = 30s

First derivation if motion states that,

$v = u + at \\ 30 = 0 + a(30) \\ 1 \: m {s}^{ - 2} = a$

$\boxed{ \textsf{ \red{ Acceleration\:is\:1\:m / sq.\:sec }}}$

$\textbf{ Have great future ahead! }$