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mars1129 [50]
3 years ago
14

a model rocket flies horizontally off the edge of a cliff at a velocity of 40.0m/s. if the canyon below is 110.0m deep, how far

from the edge of the cliff does the model rocket land?
Physics
1 answer:
Over [174]3 years ago
5 0

Answer:

189.6 m

Explanation:

First of all, we study the vertical motion of the rocket in order to find the time it takes for it to land. The suvat equation for the vertical motion is

s=ut+\frac{1}{2}gt^2

where, taking downward as positive direction:

s = 110.0 m is the vertical displacement

u = 0 is the initial vertical velocity

g = 9.8 m/s^2 is the acceleration of gravity

t is the time of flight

Solving for t,

t=\sqrt{\frac{2s}{g}}=\sqrt{\frac{2(110)}{9.8}}=4.74 s

Now we can just analyze the horizontal motion, which is a uniform motion with constant velocity, which is equal to

v_x = 40.0 m/s

So the distance travelled horizontall after a time t is

d=v_x t

So, when the rocket lands (t = 4.74 s), the horizontal distance travelled is

d=(40.0)(4.74)=189.6 m

Therefore, the rocket lands 189.6 m far from the edge of the cliff.

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Advocard [28]

Answer:

The handrails must be approximately 10.63 meters long

Explanation:

The given parameters are;

The height of the bleachers, h = 8 m

The depth of the bleachers, d = 7 m

The length of the hand rails to go along the bleachers from bottom to top is given by Pythagoras' Theorem as follows;

The length of the hand rail = √(d² + h²)

∴ The length of the hand rail = √(7² + 8²) = √113 ≈ 10.63

In order for the handrails to go along the bleachers from top to bottom, they must be approximately 10.63 meters long.

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Romashka [77]

Answer:

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Temka [501]

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