At t = 0, a saucer is thrown horizontally as shown from a 200 m high cliff with

Question

At t = 0, a saucer is thrown horizontally as shown from a 200 m high cliff with a speed of 5 m/s. Two seconds later, an arrow is shot from the base of this cliff with a speed of 30 m/s. At what angle ? should the arrow be shot to hit the saucer? (g = 10 m/s2).

At t = 0, a saucer is thrown horizontally as shown from a 200 m high cliff with a speed of 5 m/s. Two seconds later, an arrow is shot from the base of this cliff with a speed of 30 m/s. At what angle ? should the arrow be shot to hit the saucer? (g = 10 m/s2).

Explanation / Answer

for saucer
y = 200 - 5 t^2

x = 5 t

for arrow

x = 30 *cos(theta) t
y = 30*sin(theta) t - 5 t^2

we wants x and y to equal

30 cos theta t = 5 t

cos theta = 5/30

theta = arcos(5/30)

theta = 80.41 degrees

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