For #1-9, suppose a ball's heights in feet at time t in seconds is given by s(t) = 64 - 16(t− 1)² 1. Sketch a graph of y = s(t) on the time interval [0,3]. Label the points on the graph that correspond to when the ball is released, when it reaches its highest point, and when it lands. 2. How does the ball's motion differ on the time intervals (0, 1) and (1,3)? What occurs at the instant t = 1? 3. Compute the ball's average velocity on the following time intervals. Include units for each. (a) [0.4, 0.8] (e) [0.8, 1.2] (b) [0.7,0.8] (c) [0.79,0.8] (d) [0.799,0.8] (f) [0.8,0.9] (g) [0.8, 0.81] (h) [0.8,0.801]

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.3: Quadratic Functions
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For #1-9, suppose a ball's heights in feet at time t in seconds is given by s(t) = 64 - 16(t-1)²
1. Sketch a graph of y = s(t) on the time interval [0, 3]. Label the points on the graph that correspond to
when the ball is released, when it reaches its highest point, and when it lands.
2. How does the ball's motion differ on the time intervals (0, 1) and (1, 3)? What occurs at the instant t = 1?
3. Compute the ball's average velocity on the following time intervals. Include units for each.
(a) [0.4, 0.8]
(e) [0.8, 1.2]
(b) [0.7,0.8]
(c) [0.79, 0.8]
(d) [0.799, 0.8]
(f) [0.8,0.9]
(g) [0.8, 0.81]
(h) [0.8, 0.801]
Transcribed Image Text:For #1-9, suppose a ball's heights in feet at time t in seconds is given by s(t) = 64 - 16(t-1)² 1. Sketch a graph of y = s(t) on the time interval [0, 3]. Label the points on the graph that correspond to when the ball is released, when it reaches its highest point, and when it lands. 2. How does the ball's motion differ on the time intervals (0, 1) and (1, 3)? What occurs at the instant t = 1? 3. Compute the ball's average velocity on the following time intervals. Include units for each. (a) [0.4, 0.8] (e) [0.8, 1.2] (b) [0.7,0.8] (c) [0.79, 0.8] (d) [0.799, 0.8] (f) [0.8,0.9] (g) [0.8, 0.81] (h) [0.8, 0.801]
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