A motorcyclist is at 80 m/s files off a small cliff of 25 m hit the ground. Give

Question

A motorcyclist is at 80 m/s files off a small cliff of 25 m hit the ground. Given: V_0 = 30 m/s A cat is change a mouse across a 3m high flat roof at a speed of 20 m/s. The mouse steps out of the way at the last second and the cat flies of the edge of the roof. a) Where does the cat hit the ground? b) What is the cats horizontal velocity when it hits the ground? c) What is the vertical ? Given: V_0 = 20 m/s A Bal is shot out of a cannon w/A well of 100 m/s at an angle of 300 above the horizontal. What is the range? Given: V_A = 100 m/s Given: Theta = 40 degree X_R = 200 m A Human cannon ball is shot out of a cannon w/A velocity of 50 m/s, w/ the net being 100 m away. At what angle should they a in the cannon? 2 cos theta sin theta = sin 2 theta Given:

Explanation / Answer

7-1) in vertical, v0y = 0

ay = - 9.81 m/s^2

y = - 2.5 m

y = v0y t + a t^2 /2

- 2.5 = 0 - 9.81 t^2 /2

t = 0.715 sec

d = 30 x 0.715 = 21.4 m

7-2) (A) 3 = 9.81 t^2 / 2

t = 0.782 sec

d = 20 x0.782 = 15.6 m

(B) vfx = v0x = 20 m/s

(c) vfy = 9.8 x 0.782 = 7.67 m/s

7-3) R = 100^2 sin(2 x 30) / 9.81

R = 882.8 m

7-4) 200 = v0^2 sin(2 x 40) / 9.81

v0 = 44.6 m/s

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