Question

A studious physics student is interrupted by a swarm of bees and chased off a cliff. Since she has her calculator in hand she quickly punches in numbers to figure out the initial velocity she needs to make it into the lake below. The cliff is 10 m high and the lake is 15 m away from the edge of the cliff. Find the time it takes her to drop. Find her initial velocity,​

Answer 1

The time is 1.4 sec

The initial velocity is 10.7 m/s.

Step-by-step explanation:

Given that,

Height = 10 m

Distance = 15 m

We need to calculate the time

Using equation of motion

`s=ut-(1)/(2)gt^2`

Put the value into the formula

`10=0+(1)/(2)*9.8* t^2`

`t^2=(2*10)/(9.8)`

`t=\sqrt{(2*10)/(9.8)}`

`t=1.4\ sec`

We need to calculate the initial velocity

Using formula of velocity

`v=(d)/(t)`

Put the value into the formula

`v=(15)/(1.4)`

`v=10.7\ m/s`

Hence, The time is 1.4 sec

The initial velocity is 10.7 m/s.