# Instantaneous velocity of the ball

Not what you're looking for? Search our solutions OR ask your own Custom question.

If a ball is thrown straight up into the air with an initial velocity of 75 ft/s, it height in feet after t second is given by y=75tÃ¢?'16t^2. Find the average velocity for the time period beginning when t=1 and lasting

(i) 0.1 seconds

(ii) 0.01 seconds

(iii) 0.001 seconds

Finally based on the above results, guess what the instantaneous velocity of the ball is when t=1.

On the given Equation, the 2 is an exponent.

Â© BrainMass Inc. brainmass.com December 16, 2022, 7:53 am ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/instantaneous-velocity-ball-431470

#### Solution Preview

y=75t - 16t^2

(i)

Average velocity

= (y(1.1) - y(1))/(1.1-1)

= ((75*1.1 - 16*1.1^2) -(75*1 - 16*1^2))/0.1

= 41.4 ...

#### Solution Summary

Instantaneous velocity of the ball is depicted in this tutorial.

$2.49