Question

A car starting from resttravels 100m in 5 s wth uniform acceleration.Find the acceleration of the car

Answer 1

Answer:

the acceleration should be 8 m/s

Answer 2

Answer :

➥ The acceleration of the car = 8 m/s²

Given :

➤ Intial velocity of the car (u) = 0 m/s

➤ Distance travelled by a car (s) = 100 m

➤ Time taken by a car (t) = 5 sec

To Find :

➤ Acceleration of the car (a) = ?

Solution :

In the above question given that Intial velocity is 0 becouse the car is in the rest, distance is 100 m and time taken is 5 sec. So,

From second equation of motion

$\tt{:\implies s = ut + \dfrac{1}{2}a {t}^{2} }$

$\tt{:\implies 100 = 0 \times 5 + \dfrac{1}{2} \times a \times 5 \times 5 }$

$\tt{:\implies 100 = 0 + \dfrac{1}{ \cancel{ \: 2 \: }} \times a \times \cancel{25}}$

$\tt{:\implies 100 = 0 + 1 \times a \times 12.5}$

$\tt{:\implies 100 = 0 + 1 \times 12.5a}$

$\tt{:\implies 100 = 0 + 12.5a}$

$\tt{:\implies 100 = 12.5a}$

$\tt{:\implies \cancel{\dfrac{100}{12.5}} = a }$

$\bf{:\implies \underline{ \: \: \underline{ \purple{ \: \: a = 8 \: m/s^2 \: \: }} \: \: }}$

Hence, the acceleration of the car is 8 m/s².