Forces HW 4 Google Chome Secure : https://session masteringphysics.com/m yc t/it

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Forces HW 4 Google Chome Secure : https://session masteringphysics.com/m yc t/itemView offsenext&assignmentProblemi; D-8 1 4653 Ba Forces Hw4 Problem 2 71 a prevlous i 28 of 28 l retum to assi Problem 2.71 Part A A stone is thrown vertically upward wih a speed of 17.3 my's from the edge of a cill 750 m high lEigure.11 How much later does it reach the botom of he d? Express your answer to three significant figures and include the appropriate units. My Answers Glve Up Wha: is its speod just batoo hiting Express your answer to three significant figures and include the appropriate units iA Vale m/s My Answers Gve Up Part C What total cstancu id it va Express your answer to three significant figures and inclade the appropriate unts 3 ? My Answers gto up

Explanation / Answer

(a)

Let:

y0 be initial height,

u be initial speed up,

g be acceleration due to gravity,

t be time.

0 = y0 + ut - gt^2 / 2

0 = 75.0 + 17.3t - 9.81t^2 / 2

9.81t^2 / 2 - 17.3t - 75.0 = 0

The positive root is:

t = (17.3 + sqrt(299.29 + 2 * 9.81 * 75)) / 9.81

= 6.05 sec.

(b)

Let v be final speed.

v = u - gt

= 17.3 - 9.81 * 6.05

= - 42.1 m/s.

That's 42.1 m/s downwards.

(c)

Let y be height reached above the cliff.

0 = u^2 - 2gy

y = u^2 / 2g

= 17.3^2 / (2 * 9.81)

= 15.3 m.

The total distance is:

2y + 75.0

= 106 m.

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