Complete using the appropriate gravitational constants from the table that follows. In each exercise you may ignore wind resistance. g in m/sec2 g in ft/sec2 Earth 9.8 32 Moon 1.6 5.2 Mars 3.7 12.1 Jupiter 24.8 81 There is considerable controversy surrounding who hitthe longest home run in professional baseball. However,any ball that travels 500 feet in the air is considered “monumental.”Assuming that a hitter contacts a ball 4 feetfrom the ground and that the ball leaves the bat with a 45◦angle of elevation and subsequently travels a horizontaldistance of 500 feet, answer the following questions:(a) How fast is the speed of the ball right after contact?(b) What is the maximum height reached by the ball?(c) How long does the ball spend in the air after beinghit?(d) On May 22, 1963, Mickey Mantle, playing for theNew York Yankees, hit a home run that struck a point on the fac¸ade of the right-field roof of the old YankeeStadium approximately 115 feet high and 370 feetfrom home plate. Explain why this is not enough informationto determine how far the ball would havetraveled if it had not hit the fac¸ade.
Complete using the appropriate gravitational constants from the table that follows. In each exercise you may ignore wind resistance.
g in m/sec2 | g in ft/sec2 | |
Earth | 9.8 | 32 |
Moon | 1.6 | 5.2 |
Mars | 3.7 | 12.1 |
Jupiter | 24.8 | 81 |
There is considerable controversy surrounding who hit
the longest home run in professional baseball. However,
any ball that travels 500 feet in the air is considered “monumental.”
Assuming that a hitter contacts a ball 4 feet
from the ground and that the ball leaves the bat with a 45◦
angle of elevation and subsequently travels a horizontal
distance of 500 feet, answer the following questions:
(a) How fast is the speed of the ball right after contact?
(b) What is the maximum height reached by the ball?
(c) How long does the ball spend in the air after being
hit?
(d) On May 22, 1963, Mickey Mantle, playing for the
New York Yankees, hit a home run that struck a point on the fac¸ade of the right-field roof of the old Yankee
Stadium approximately 115 feet high and 370 feet
from home plate. Explain why this is not enough information
to determine how far the ball would have
traveled if it had not hit the fac¸ade.
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