7. Physics: A baseball is thrown directly upward with initial velocity of 75 ft/sec from an initial height of 30 ft. The velocity of the baseball is given by: v(t) = –32t + 75, wheret is the number of seconds since the ball was released and v is in ft/sec. a) Find the function h that gives the height (in feet) of the baseball after t seconds if we know that at t = 0, the ball is 30 ft above ground. b) what are the height and velocity of the baseball after 2 seconds of flight? c) After how many seconds does the ball reach its highest point? (hint: the ball "stops" for a moment before falling downward, v(t) = 0) %3D

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
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7. Physics: A baseball is thrown directly upward with initial velocity of 75 ft/sec from an initial height of 30
ft. The velocity of the baseball is given by:
v(t) = –32t + 75, wheret is the number of seconds since the ball was released and v is in ft/sec.
a) Find the function h that gives the height (in feet) of the baseball after t seconds if we know that at t = 0, the
ball is 30 ft above ground.
b) what are the height and velocity of the baseball after 2 seconds of flight?
c) After how many seconds does the ball reach its highest point? (hint: the ball "stops" for a moment before
falling downward, v(t) = 0)
%3D
Transcribed Image Text:7. Physics: A baseball is thrown directly upward with initial velocity of 75 ft/sec from an initial height of 30 ft. The velocity of the baseball is given by: v(t) = –32t + 75, wheret is the number of seconds since the ball was released and v is in ft/sec. a) Find the function h that gives the height (in feet) of the baseball after t seconds if we know that at t = 0, the ball is 30 ft above ground. b) what are the height and velocity of the baseball after 2 seconds of flight? c) After how many seconds does the ball reach its highest point? (hint: the ball "stops" for a moment before falling downward, v(t) = 0) %3D
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