Answer:
a) h = 0.1: , h = 0.01: , h = 0.001: , b) The instantaneous velocity of the ball when is feet per second.
Step-by-step explanation:
a) We know that describes the position of the ball, measured in feet, in time, measured in seconds, and the average velocity (), measured in feet per second, can be done by means of the following definition:
Where:
- Position of the ball evaluated at , measured in feet.
- Position of the ball evaluated at , measured in feet.
- Change interval, measured in seconds.
Now, we obtained different average velocities by means of different change intervals:
b) The instantaneous velocity when can be obtained by using the following limit:
And we finally evaluate the instantaneous velocity at :
The instantaneous velocity of the ball when is feet per second.