A tiger leaps horizontally from a 5 01m high rock with a speed of 4.59m/s. How f

Question

A tiger leaps horizontally from a 5 01m high rock with a speed of 4.59m/s. How far from the base of the rock did she land? A fire hose held near the ground shoots water at a speed of 7.9m/s.| What is the smallest angle the nozzle should point in order that the water land 2.11m away (Fig 3-33)? If the fire hose held near the ground shoots water at an angle of 38.22 degree, what is the larger, complementary angle that could be used to shoot the water the same distance? Romeo is chucking pebbles gently up to Juliet's window, and he wants the pebbles to hit the window with only a horizontal component of velocity. He is standing at the edge of a rose garden 4.14m below her window and 5.49m from the base of the wall. How fast are the pebbles going when they hit her window? The pilot of an airplane traveling 50m/s wants to drop supplies to flood victims isolated on a patch of and 153.8m below. The supplies should be dropped how many seconds before the plane s directly overhead?

Explanation / Answer

1.

Total time of the motion will be given by:

s = u*t + 0.5*a*t^2

u = initial velocity = 0 m/sec

t = sqrt (2*s/a)

t = sqrt (2*5.01/9.81) = 1.01 sec

Now range of leap will be given by:

R = Vx*t

R = 4.59*1.01 = 4.636 m

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