(a) Determine the time taken by the projectile to hit point P at ground level. _

Question

(a) Determine the time taken by the projectile to hit point P at ground level. ____ s
(b) Determine the range X of the projectile as measured from the base of the cliff. ____ km
(c) At the instant just before the projectile hits point P, find the horizontal and the vertical components of its velocity. (Take up and to the right as positive directions.) Horizontal ____ m/s Vertical ____ m/s
(d) What is the magnitude of the velocity? ____ m/s
(e) What is the angle made by the velocity vector with the horizontal? ____

Explanation / Answer

145 m/s, =37o, ht=265 m, vox=vo*cos()115.8 m/s, voy=vo*sin()87.3 m/s

y=-265=voy*t-1/2*g*t2t=20.4531 s

a) 20.4531 s

b) 115.8*20.45312368.52 m

c) vyfinal=voy-g*t=87.3-9.8*20.4531-113.18 m/s,

horizontal=115.8 m/s, vertical=-113.18 m/s

d) (vox2+vyfinal2)161.92 m/s

e) tan(-113.18/115.8)-1-44.34o

f) max ht above cliff voy2/(2*g)388.51 m

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