Question

If an antelope is running at a speed of 10 mis, and can maintain that horizontal velocity when it jumps, how high must it jump in order to clear a horizqntal distance of 20m ? .)

Answer 1

Step-by-step explanation:

Given

velocity of antelope
`v=10 m/s`

antelope needs to cover a horizontal distance of 20 m

considering horizontal velocity antelope needs to cover 20 m in t sec which is given by

`t=(20)/(10)=2 s`

i.e. in 2 sec antelope needs to jump and return to ground for zero vertical displacement

`h=ut+(1)/(2)at^2`

h=vertical displacement

a=acceleration

t=time

for,
`h_(max)`, t=1 s

`h_(max)=0+(1)/(2)g(1)^2`

`h_(max)=(g)/(2)`

`h_(max)=4.9 m`