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

Answer:

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

$t=\frac{20}{10}=2 s$

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

$h=ut+\frac{1}{2}at^2$

h=vertical displacement

a=acceleration

t=time

for,  $h_{max}$, t=1 s

$h_{max}=0+\frac{1}{2}g(1)^2$

$h_{max}=\frac{g}{2}$

$h_{max}=4.9 m$