3. A batter hits a baseball when it is 3 feet off the ground. Its height off the ground t seconds after he hits it is given by h(t) = -16t2 + 80t + 3 feet. Its distance (along the ground) from home plate is d(t) = = 60t. (a) Draw a graph of h(t) on a domain so that the h- and t-intercepts are visible on the graph. (b) How long is the ball in the air? (c) How far from home plate does the ball hit the ground? (d). Use Desmos to graph the parametric equations (d(t) h(t)) on the domain < + < 55 Sketch

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. A batter hits a baseball when it is 3 feet off the ground. Its height off the ground t seconds after he
hits it is given by h(t) = -16t² + 80t + 3 feet. Its distance (along the ground) from home plate is
d(t) <= 60t.
(a) Draw a graph of h(t) on a domain so that the h- and t-intercepts are visible on the graph.
(b) How long is the ball in the air?
(c) How far from home plate does the ball hit the ground?
(d) Use Desmos to graph the parametric equations (d(t), h(t)) on the domain 0 ≤ t ≤ 5.5. Sketch
the graph on your paper.
Transcribed Image Text:3. A batter hits a baseball when it is 3 feet off the ground. Its height off the ground t seconds after he hits it is given by h(t) = -16t² + 80t + 3 feet. Its distance (along the ground) from home plate is d(t) <= 60t. (a) Draw a graph of h(t) on a domain so that the h- and t-intercepts are visible on the graph. (b) How long is the ball in the air? (c) How far from home plate does the ball hit the ground? (d) Use Desmos to graph the parametric equations (d(t), h(t)) on the domain 0 ≤ t ≤ 5.5. Sketch the graph on your paper.
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