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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 :

Answer:

Explanation:

Given

velocity of antelope [tex]v=10 m/s[/tex]

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

[tex]t=\frac{20}{10}=2 s[/tex]

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

[tex]h=ut+\frac{1}{2}at^2[/tex]

h=vertical displacement

a=acceleration

t=time

for,  [tex]h_{max}[/tex], t=1 s

[tex]h_{max}=0+\frac{1}{2}g(1)^2[/tex]

[tex]h_{max}=\frac{g}{2}[/tex]

[tex]h_{max}=4.9 m[/tex]

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