Aski jumper starts with a horizontal take-off velocity of 25 m/s and lands on a straight landing hill inclined at 30â°. determine (a) the time between take-off and landing, (b) the length d of the jump, (c) the maximum vertical distance between the jumper and the landing hill.

Refer to the diagram shown below.

The time between take off and landing is


The vertical drop is


Part (a)
Therefore,
t = 0.034685.034 = 2.946 s

  2.95 s (nearest hundredth)

Part (b)
The length of the jump is d = 85.034 m

  85.0 m (nearest tenth)

Part (c)
The vertical distance is
h = d sin(30) = 42.52 m

42.5 m (nearest tenth)

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