A stone is thrown at an angle of 30° above the horizontal from the top edge of a cliff with an initial speed of 12 m/s. a stop w

Question

3 years ago

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A stone is thrown at an angle of 30° above the horizontal from the top edge of a cliff with an initial speed of 12 m/s. a stop w

atch measures the stone's trajectory time from top of cliff to bottom to be 5.6 s. what is the height of the cliff? (g = 9.8 m/s2 and air resistance is negligible)

Mathematics

1 answer:

stellarik [79] · Answer 1 · 2021-12-24T12:31:31+03:00

To solve this problem you must apply the proccedure shown below:
1. You must apply the following formula:
yo=-(Voy)t+gt²/2
2. You have that:
Voy=VoxSin(30°)
Voy=(12 m/s)(Sin(30°))
Voy=6 m/s
t=5.6 s
g=9.8 m/s²
2. When you susbtitute these values into the formula, you obtain:
yo=-(6 m/s)(5.6 s)+(9.8 m/s^2)(5.6 s)²/2
yo=120.06 m
Therefore, the answer is: 120.06 m