Final answer:
To create a table showing the ball's speed each second for 4 seconds, we can use the equation for the ball's upward velocity. The initial speed of the ball is 19.6 m/s, and the acceleration due to gravity is -9.8 m/s².
Step-by-step explanation:
To create a table showing the ball's speed each second for 4 seconds, we can use the equation for the ball's upward velocity. The initial speed of the ball is 19.6 m/s, and the acceleration due to gravity is -9.8 m/s² (negative because it acts downward).
- At t = 0 seconds, the ball's speed is 19.6 m/s
- At t = 1 second, we use the equation v = v0 + a*t to find v = 19.6 + (-9.8 * 1) = 9.8 m/s
- At t = 2 seconds, v = 19.6 + (-9.8 * 2) = 0 m/s
- At t = 3 seconds, v = 19.6 + (-9.8 * 3) = -9.8 m/s
- At t = 4 seconds, v = 19.6 + (-9.8 * 4) = -19.6 m/s
So the table for the ball's speed each second for 4 seconds would look like:
Time (s)Speed (m/s)019.619.8203-9.84-19.6