Adiver springs upward from a board that is 3.90 m above the water. at the instant she contacts the water her speed is 13.2 m/s and her body makes an angle of 81.8 ° with respect to the horizontal surface of the water. determine her initial velocity, both (a) magnitude and (b) direction.

a) u = 9.88 m/s

b)

Explanation:

given,

speed of the diver = 13.2 m/s

Angle made w.r.t horizontal = 81.8 °

The horizontal component of final velocity

v_h = 13.2 cos 81.8 °

The vertical component of final velocity

v_v = 13.2 sin 81.8 °

using equation of motion

initial velocity of vertical component

      = 9.70 m/s

the horizontal component of the initial velocity

u_h = v_h = 13.2 cos 81.8 ° = 1.88 m/s

magnitude

u = 9.88 m/s

direction

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