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] (f) [0.8,0.9] (g) [0.8, 0.81]
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
Could you do 3d, 3e, and 3f for me please.
![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%2F9a5ede31-e4a9-4e94-9c52-a3fc61c83fab%2Fmb5qv1e_processed.png&w=3840&q=75)
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