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Alexxx [7]
3 years ago
14

A student falls off a cliff into the lake 54.0 m below. What is the final velocity of the student?

Physics
1 answer:
Vladimir79 [104]3 years ago
6 0

Answer:

v_{y} = -32.53 m / s

this velocity is directed downwards

Explanation:

This is a free fall exercise, let's use the expression

         v_{y}^{2} = v_{oy}^{2} + 2 g (y -yo)

where we are assuming that there is friction with the air, as the body falls its initial velocity is zero

         v_{oy} = √ 2g (y - y₀)

let's calculate

         v_{y} = √ (2 9.8 (0-54.0))

         v_{y} = -32.53 m / s

this velocity is directed downwards

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Explanation:

It is given that,

The angle of projection is 60 degrees

Initial velocity of the ball is 120 m/s

We need to find the time taken to get to the maximum height and the time of flight.

Time taken to reach the maximum height is given by :

T=\dfrac{u^2\sin^2\theta}{2g}

g is acceleration due to gravity

T=\dfrac{(120)^2\times \sin^2(60)}{2\times 10}\\\\T=540\ s

(ii) Time of flight,

t=\dfrac{2u\sin\theta}{g}

So,

t=\dfrac{2\times 120\times \sin(60)}{10}\\\\t=20.78\ s

Hence, this is the required solution.

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(Good luck on your test and mark me brainliest if this helps)

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