Question

You drop a ball from the edge of a cliff. It lands 4 seconds later. Assume there is no air resistance. Make a table (include time and speed) showing the ball's speed each second for 4 seconds________

Answer 1

To find the ball's speed at each second for 4 seconds, use the equation v = gt, where v is the velocity, g is the acceleration due to gravity, and t is the time. Calculate the velocity at t = 1, 2, 3, and 4 seconds using this equation.

Step-by-step explanation:

To create a table showing the ball's speed each second for 4 seconds, you can use the equation of motion for free fall, which is v = gt, where v is the velocity, g is the acceleration due to gravity (approximately -9.8 m/s^2), and t is the time. Since the ball is dropped from rest, the initial velocity is 0 m/s.

Using this equation, you can calculate the velocity at each second:

1. At t = 1 second: v = (9.8 m/s^2)(1 s) = 9.8 m/s
2. At t = 2 seconds: v = (9.8 m/s^2)(2 s) = 19.6 m/s
3. At t = 3 seconds: v = (9.8 m/s^2)(3 s) = 29.4 m/s
4. At t = 4 seconds: v = (9.8 m/s^2)(4 s) = 39.2 m/s