✔ 最佳答案
Refer to the figure below.
Take g = 9.8 m/s²
Take all downward quantities to be positive.
(a)
Consider the vertical motion (uniform acceleration motion):
Initial velocity, u(y) = 0 m/s
Acceleration, a(y) = 9.8 m/s²
Time taken, t = 7.0 s
s(y) = u(y) t + (1/2) a t²
s(y) = (0) (7) + (1/2) (9.8) (7)²
Height of the cliff, s(y) = 240 m
(b)
Consider the vertical motion:
v(y) = u(y) + a(y) t
v(y) = (0) + (9.8) (7)
v(y) = 68.6 m/s
Final velocity of the rock
= √[v(x)² + v(y)²]
= √[20² + 68.6²]
= 71.5 m/s
Make an angle of tan⁻¹(68.6/20) = 73.7° below the horizontal line.
(c)
Consider the horizontal motion (uniform velocity motion):
Distance the rock travels horizontal before it hits the ground (range)
= v(x) t
= (20) (7)
= 140 m