monty981
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3. A projectile is fired from a vertical cliff edge (height = 100 m) with a horizontal velocity of 20
m/s. The projectile hits the ground (height = 0 m) approximately:
A. 180 m from the base of the cliff
B. 90 m from the base of the cliff
C. 7 s after being fired
D. 9 s after being fired
E. 90 s after being fired

Respuesta :

Refer to the diagram shown below.

u = 20 m/s, the horiontal launch velocity
v = 0, initial vertical velocity

Assume that wind resistance may be ignored.

The time, t, of the flight is given by
(1/2)*(9.8 m/s²)*t² = (100 m)
t² = 100/4.9 = 20.4082
t = 4.5175 s

Th horizontal distance traveled is
d = (20 m/s)*(4.5175 s) = 90.35 m

Answer: B
The projectile hits the ground at approximately 90 m from the base of the cliff.
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