Question

A car attains a speed of 10ms-

1 in 10 seconds starting from rest. Calculate the

acceleration of the car?​

Answer 1

Given :

• A car starts from rest and attain the velocity of 10 m/s
• Time taken is 10 seconds

To Find :

• Acceleration of the car

Solution :

If a body starts from rest, it means initial velocity (u) is zero. u = 0 m/s. And the car attains speed of 10 m/s, it means final velocity (v) is 10 m/s. v = 10 m/s. Time interval is given as 10 seconds. t = 10 s

We can find value of acceleration using 1st equation of Kinematics

⇒v = u + at

⇒v - u = at

⇒a = v - u/t

⇒a = 10 - 0/10

⇒a = 10/10

⇒a = 1

$\therefore$ Acceleration of car is 1 m/s²

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Answer 2

Given:-

• Initial Velocity of car (u) :- 0m/s
• Final Velocity of car (v) :- 10m/s
• Time (t) :- 10 sec

To Find:-

• Acceleration of car(a) :- ?

Solution :-

★ Initial velocity of car is 0m/s becz it starts from rest and reach to final position in 10sec at 10m/s.

We know that,

Acceleration is the rate of change of velocity with respect to time.

$\large\bold{\underline{\underline{\boxed{\sf{\purple{\dag \; Acceleration (a) → \dfrac{v - u}{t} }}}}}}$

Put values in formula:-

$\implies \sf{ a → \dfrac{10 - 0}{10}}$

$\implies \sf{ \cancel{ \dfrac{10}{10}}}$

$\implies \sf{1}$

$\large\bold{\underline{\underline{\boxed{\sf{\purple{\dag \; Acceleration (a) → 1m/s^{2}}}}}}}$

$\rule{200}{2}$