PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
6th Edition
ISBN: 9781429206099
Author: Tipler
Publisher: MAC HIGHER
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Chapter 16, Problem 28P
To determine

To draw: curves through the intersections corresponding to points.

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Solution: The projectile motion equations: x = x₁ + (vo cos 0) t y = yo + (vo sin 0o) t - 1/2gt² Call the starting point (xo, yo) = (0,0). To find (x, y) for the ending point, use triangle trig on the hill angled at 20°: x = d cos 20° = .940d and y = d sin 20° = .342d Plug in: .940d = (vo coso) t (Eqn. 1) .342d = (vo sin 0o) tgt² (Eqn. 2) The variable t is not mentioned in the problem. We can remove it by solving Eqn. 1 for t and plugging into Eqn. 2: t = .940d vo cos 00 .940d vo cos o -) - 12/19 ( Cleaning up and plugging in g = 9.8m: .342d = (v₁ sino) ( .940d vo cos 00 2
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PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS

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