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 49 m/s? v = vo + at

Answer 1

Given data:

* The initial velocity of the object is 0 m/s.

* The final velocity of the object is 49 m/s.

* The acceleration of the object is,

`a=9.8ms^(-2)`

Solution:

The time taken by the object to achieve the final velocity is,

`v=v_o+at`

where v is the final velocity, v_o is an initial velocity, a is an acceleration, and t is the time taken by the object to acquire the final velocity,

Substituting the known values,

`\begin{gathered} 49=0+9.8* t \\ 49=9.8t \\ t=(49)/(9.8) \\ t=5\text{ s} \end{gathered}`

Thus, the time taken by the object to acqurie the final velocity is 5 seconds.