Question

A car starts from rest and is uniformly accelerated to a speed of 30 m/s in 6s. What is the distance travelled by the car ?

• A. 5 m
• B. 30 m
• C. 90 m
• D. 180 m

Answer 1

Answer: (C)

90 m

$s=u\times t+\frac{1}{2}\times a\times t^2$ -------(1)
$a=\frac{v-u}{t}$ -------(2)
where s is Distance travelled.
u is initial Speed.
v is final Speed.
a is Acceleration.
t is time.
Given : $u=0,v=30\frac{m}{s},t=6sec$
$a=\frac{30}{6}$ using equ. (2)
$a=5\frac{m}{s^2}$
$s=0+\frac{1}{2}\times 5\times 6^2$ using equ. (1)
$s=90m$