Figure P3.58 3.58 Kicking an Extra Point. In Canadian football, after a touchdown the team has the opportunity to earn one more point by kicking the ball over the bar between the goal posts. The bar is 10.0 ft above the ground, and the ball is kicked from ground level, 36.0 ft horizontally from the bar ( Fig. P3.58 ). Football regulations are stated in English units, but convert them to SI units for this problem, (a) There is a minimum angle above the ground such that if the ball is launched below this angle, it can never clear the bar, no matter how fast it is kicked. What is this angle? (b) If the ball is kicked at 45.0° above the horizontal, what must its initial speed be if it is just to clear the bar? Express your answer in m/s and in km/h.
Figure P3.58 3.58 Kicking an Extra Point. In Canadian football, after a touchdown the team has the opportunity to earn one more point by kicking the ball over the bar between the goal posts. The bar is 10.0 ft above the ground, and the ball is kicked from ground level, 36.0 ft horizontally from the bar ( Fig. P3.58 ). Football regulations are stated in English units, but convert them to SI units for this problem, (a) There is a minimum angle above the ground such that if the ball is launched below this angle, it can never clear the bar, no matter how fast it is kicked. What is this angle? (b) If the ball is kicked at 45.0° above the horizontal, what must its initial speed be if it is just to clear the bar? Express your answer in m/s and in km/h.
3.58 Kicking an Extra Point. In Canadian football, after a touchdown the team has the opportunity to earn one more point by kicking the ball over the bar between the goal posts. The bar is 10.0 ft above the ground, and the ball is kicked from ground level, 36.0 ft horizontally from the bar (Fig. P3.58). Football regulations are stated in English units, but convert them to SI units for this problem, (a) There is a minimum angle above the ground such that if the ball is launched below this angle, it can never clear the bar, no matter how fast it is kicked. What is this angle? (b) If the ball is kicked at 45.0° above the horizontal, what must its initial speed be if it is just to clear the bar? Express your answer in m/s and in km/h.
A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 3.9m to the north, 9.4 m 45° north of east, and 9.5m 50° west of south. Starting at the same initial point, an expert could make the hole in a single displacement. What is the magnitude of this single displacement in meters?
The figure shows the path taken by a drunk skunk over level ground, from initial point i to final point f. The angles are e, = 32.0°,
e, = 49.0°, and0z = 84.0°, and the distances are d= 4.80 m, d2 = 7.30 m, and dz = 10.0 m. What are the (a) magnitude and (b) angle of
the skunk's displacement from i to f? Give the angle as a positive (counterclockwise) or negative (clockwise) angle of magnitude less
than 180°, measured from the +x direction.
de
(a) Number
Units
(b) Number
Units
The figure shows the path taken by a drunk skunk over level ground, from initial point i to final point f. The angles are 0, - 32.0°,
e2 = 49.0°, and e3 = 84.0°, and the distances are d= 4.80 m, d2 = 7.30 m, and d3 = 10.0 m. What are the (a) magnitude and (b) angle of
the skunk's displacement from i to f? Give the angle as a positive (counterclockwise) or negative (clockwise) angle of magnitude less
than 180°, measured from the +x direction.
dy
dg
(a) Number
9.853
Units
(b) Number
-123.8
Units
(degrees)
Chapter 3 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
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