In Denver, children bring their old jack-o-lanterns to the top of a tower and co

Question

In Denver, children bring their old jack-o-lanterns to the top of a tower and compete for accuracy in hitting a target on the ground. Suppose that the tower height is h = 8.60 m, and that the bulls-eye's horizontal distance is d = 4.2 m from the launch point. (Neglect air resistance.)

If a jack-o-lantern is given an initial horizontal speed of 3.3 m/s, what are the direction and magnitude of its velocity at the following moments in time? (Let the +x axis point to the right.)

(a) 0.75 s after launch
(below the +x-axis)
m/s

(b) just before it lands
(below the +x axis)
m/s

In Denver, children bring their old jack-o-lanterns to the top of a tower and compete for accuracy in hitting a target on the ground. Suppose that the tower height is h = 8.60 m, and that the bulls-eye's horizontal distance is d = 4.2 m from the launch point. (Neglect air resistance.) If a jack-o-lantern is given an initial horizontal speed of 3.3 m/s, what are the direction and magnitude of its velocity at the following moments in time? (Let the +x axis point to the right.) (a) 0.75 s after launch ½ (below the +x-axis) m/s (b) just before it lands ½ (below the +x axis) m/s

Explanation / Answer

Ux =3.3
Uy =0

a)

Vx = 3.3
Vy = 7.35

mag = 8.05
directioon = 65.8

b)

Vx=3.3
Vy=12.98
mag= 13.39
direc= 75.7 degrres

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