A ball is thrown straight up with an initial velocity of 19.6 m/s. Assume it experiences...
A ball is thrown straight up with an initial velocity of 19.6 m/s. Assume it experiences a constant acceleration of 9.8 m/s^2 down (due to gravity) throughout the entire motion. The motion we will consider is the one from the time it was thrown upward to the time it returns to its initial height, which will take a total of 4 seconds.
(a) find an expression for the ball's acceleration as a function of time
(b) sketch the acceleration as a function of time during the motion. Assume the motion started at time t=0 s
(c) find an expression for the ball's average acceleration over an interval [0,t] during the motion.
(d) find an expression for the ball's velocity as a function of time durign the motion.
(e) sketch the velocity as a function of time during the motion.
(f) find an expression for the ball's average velocity over an internal [0,t] during the motion.
(g) find an expression for the ball's displacement as a function of time during the motion.
(h) sketch the displacement as a function of time for the entire motion.
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A ball is thrown straight up with an initial velocity of 19.6
m/s. Assume it experiences...
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A prairie dog initially at rest, accelerates at a constant rate of 0.2 m/s^2 east for 10 seconds. (a) sketch the velocity as a function of time during the motion. (b) find an expression of the prairie dog's average velocity over an interval [0,t] during the motion. (c) find an expression for the prairie dog's displacement as a function of time during the motion. (d) sketch the displacement as a function of time for the entire motion.
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