Question

A falling object accelerates from -10.0 m/s to -30.0 m/s. how much time does it take?

Answer 1

The time taken by the falling object is 2.04 sec

Solution:

The initial velocity
`V = -10 m/s`

The final velocity
`V_1 = -30m/s`

Let us assume that the time taken is t sec

We know that the acceleration due to gravity
`g = 9.8m/sec^2`

As per the free falling object motion,

`V_1 = V -gt`

`-30 = -10 -9.8* t`

`-30+10 = -9.8* t`

`-20 = -9.8* t`

`t =(20)/(9.8) = 2.04`

So, it takes total 2.04 sec

Answer 2

2.04 s

Step-by-step explanation:

v = at + v₀

(-30.0 m/s) = (-9.8 m/s²) t + (-10.0 m/s)

t = 2.04 s