Question

An object initially at rest experiences an acceleration of 9.8 m/s2 how much time will it take it to achieve a velocity of 58 m/s

Answer 1

The time required by object to achieve velocity 58 m/s is 5.918 second.

Given:

acceleration = 9.8
`(m)/(s^(2) )`

Initial velocity = 0 m/s

final velocity = 58 m/s

To find:

Time required by object = ?

Formula used:

According to first equation of motion is given by,

v = u + at

Where, v = final velocity

u = initial velocity = 0 (Given The particle is at rest initially)

a = acceleration

t = time

Solution:

According to first equation of motion is given by,

v = u + at

Where, v = final velocity

u = initial velocity = 0 (Given The particle is at rest initially)

a = acceleration

t = time

58 = 0 + 9.8 (t)

t =
`(58)/(9.8)`

t = 5.918 s

The time required by object to achieve velocity 58 m/s is 5.918 second.