Question

1. A body starts from rest and travels for t second with uniform acceleration of 2 m/s2 . If the displacement made by

it is 16 m, Find the time of travel

(Pls explain this question in steps clearly)

Answer 1

• 4 seconds

Step-by-step explanation:

According to the question, we have:-

• A body starts from rest and travels for t second with uniform acceleration of 2 m/s² .the displacement made by it is 16 m.

Since the body starts from rest, the initial velocity of the body will be zero.

We need to calculate the time of travel (t)

Using 2nd equation of motion :

`\: \: \: \: { \boxed{\pink{ \pmb{S = ut + (1)/(2) {at}^(2)}}}}`

Where:-

• u = initial velocity
• t = time
• a = acceleration
• S = displacement

Plugging the values,

`\leadsto \: 16 = 0(t) + (1)/(2) * 2 * {(t)}^(2) \\ \\ \leadsto16 = {(t)}^(2) \\ \\ \leadsto t = √(16) \\ \\ \leadsto t = √(4 * 4) \\ \\ \leadsto{ \underbrace{ \boxed{ \pink{{t = 4 \: seconds}}}}}`

Therefore the time of travel is 4 seconds

`\dotfill`