Akangaroo is capable of jumping to a height of 2.62 m. determine the takeoff speed of the kangaroo. a) 717 b) 8.2 c) 5.92 d) 7.17

kangaroo is capable of jumping to a height of 2.62 m

It means it will reach maximum height of 2.62 m when it will jump off with some maximum capable speed from the ground

So here as it will reach to its maximum height the final speed of the kangaroo will be zero

and also we know that during the motion of kangaroo the acceleration of kangaroo is due to gravity which is given by g = 9.8 m/s^2

now we can use kinematics equation to find out take off speed

here we know that

a = - 9.8 m/s^2

d = 2.62 m

now we will have

so the take off speed of the kangaroo will be 7.17 m/s and correct answer is "option d"

we need to know the time interval during which the force acts. impulse of force = momentum change