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A stone is projected at an initial speed of 120 ft/s directed 62° above the horizontal, at a cliff of height h, as shown in Fig. The stone strikes the ground at A 5,5 s after launching. Find (a) the height h of the cliff, (b) the speed of the stone just before impact at A, and (c) the maximum height H reached above the ground.

A stone is projected at an initial speed of 120 ft/s directed 62° above the horizontal, at a cliff of height h, as shown in Fig. The stone strikes the ground at A 5,5 s after launching. Find (a) the height h of the cliff, (b) the speed of the stone just before impact at A, and (c) the maximum height H reached above the ground.

Grade:11

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
6 years ago
(c)
The maximum height H is:
236-1830_1.PNG
Round off to two significant figures,
H = 174 ft
Therefore, the maximum height attained by the stone relative to ground is 174 ft .
236-2358_1.PNG
Therefore, the stone takes 1.2 s to move from point H to A
.
236-1134_1.PNG
Therefore, the height of the cliff is 96 ft. .
236-622_1.PNG
Round of to two significant figures,
236-1240_1.PNG
Therefore, the speed of the stone just before it hits the cliff is 91 ft/s .

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