A car accelerates uniformly by 1m/s² from 5m/s to 10m/s in 5s. Calcul

1.	A car accelerates uniformly by 1m/s² from 5m/s to 10m/s in 5s. Calculatecovered by the car in that time.
Answer» ✬ Distance = 37.5 m ✬ Explanation: Given: Acceleration of car is 1 m/s². Initial VELOCITY of car is 5 m/s. Final velocity is 10 m/s. Time taken by car is 5 seconds. To Find: Distance covered by car in that time ? Formula to be used: s = ut + 1/2at² (Third LAW of MOTION) Solution: Here we have u = 5 m/s. v = 10 m/s. t = 5 s a = 1 m/s² s = ? Put all the values on the formula. $\implies{\rm }$ s = ut + 1/2at² $\implies{\rm }$ 5 × 5 + 1/2 × 1 × 5² $\implies{\rm }$ 25 + 1/2 × 5 × 5 $\implies{\rm }$ 25 + 1/2 × 25 $\implies{\rm }$ 25 + 25/2 $\implies{\rm }$ 25 + 12.5 $\implies{\rm }$ 37.5 Distance covered by car is 37.5 m. Lest find it through another method. Formula to be used: v² = u² + 2as (third law of motion) Solution: Put all the values on formula $\implies{\rm }$ v² = u² + 2as $\implies{\rm }$ 10² = 5² + 2 × 1 × s $\implies{\rm }$ 10 × 10 = 5 × 5 + 2s $\implies{\rm }$ 100 = 25 + 2s $\implies{\rm }$ 100 – 25 = 2s $\implies{\rm }$ 75/2 = s $\implies{\rm }$ 37.5 = s Distance covered by car is 37.5 m.

A car accelerates uniformly by 1m/s² from 5m/s to 10m/s in 5s. Calculatecovered by the car in that time.

Answer»

✬ Distance = 37.5 m ✬

Explanation:

Given:

To Find:

Formula to be used:

Solution: Here we have

Put all the values on the formula.

$\implies{\rm }$ s = ut + 1/2at²

$\implies{\rm }$ 5 × 5 + 1/2 × 1 × 5²

$\implies{\rm }$ 25 + 1/2 × 5 × 5

$\implies{\rm }$ 25 + 1/2 × 25

$\implies{\rm }$ 25 + 25/2

$\implies{\rm }$ 25 + 12.5

$\implies{\rm }$ 37.5

Distance covered by car is 37.5 m.

Lest find it through another method.

Formula to be used:

Solution: Put all the values on formula

$\implies{\rm }$ v² = u² + 2as

$\implies{\rm }$ 10² = 5² + 2 × 1 × s

$\implies{\rm }$ 10 × 10 = 5 × 5 + 2s

$\implies{\rm }$ 100 = 25 + 2s

$\implies{\rm }$ 100 – 25 = 2s

$\implies{\rm }$ 75/2 = s

$\implies{\rm }$ 37.5 = s

Distance covered by car is 37.5 m.