Question

A car moves in a straight line from rest at t=0 it accelerates with 2m/sec2 What is time and displacement if the velocity is 10m/sec

Answer 1

Answer:

u= 0

v= 10m/s

a =2m/s^2

t = v-u/a = 10/2= 5s

s=ut+1/2at^2

=0+1/2*2*25= 25m

Answer 2

Given :

• Car moves with acceleration(a)=2m/s²
• Initial velocity (u) = 0
• Final velocity (v) = 10m/s

To Find :

• Time (t)
• Displacement (s)

Formula Used :

First equation of motion -

$\implies\underline{\boxed{\sf v=u+at}}$

Second equation of motion -

$\implies\underline{\boxed{\sf s=ut+\dfrac{1}{2}at^2}}$

Solution :

➩ Time (t)

$\implies{\sf v = u + at}$

$\implies{\sf t = \dfrac{v-u}{a} }$

$\implies{\sf t = \dfrac{10-0}{2}}$

$\implies{\bf t = 5 \: s }$

➩ Displacement (s)

$\implies{\sf s = ut + \dfrac{1}{2}at^2}$

$\implies{\sf s = 0+\dfrac{1}{2}\times 2 \times (5)^2}$

$\implies{\bf s = 25 \; m }$

Answer :

Time (t) = 5 s

Displacement (s) = 25m