(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A ball is thrown into the air a velocity of 49 ft/s. Its height in feet after t seconds is given by y=49t-10t^2.

A. Find the average velocity for the time period beginning when t=3 and lasting

0.01 s:

0.005 s:

B. Estimate the instantaneous velocity when t=3.

2. Relevant equations

Integrals

3. The attempt at a solution

I'm not exactly sure if I'm approaching this problem at the right angle...

A) 0.01s

1/ [(3.01) -3] ∫ from 3 to 3.01 49t-10t^2 dx

[1/0.01] ∫ from 3 to 3.01 49t-10t^2 dx

[1/0.01] ∫ from 3 to 3.01 (49t^2)/2 - (10t^3)/3 <------ integrated

[1/0.01] [(49(3.01)^2)/2 - (10(3.01)^3)/3] - [1/0.01] [ 49(3)^2)/2 - (10(3)^3)/3

substitution

Same steps for 0.005s

B) I'm not sure how to approach this problem.

Please help me understand the problem. Thank you very much. :)

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Calculus Average Velocity

**Physics Forums | Science Articles, Homework Help, Discussion**