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]
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]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F442cdeaf-d6f5-4c90-9eca-defd0049fe9f%2Fd658b994-8b30-4be9-98da-f7eb3331f113%2Ficvd6o_processed.png&w=3840&q=75)
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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