Saturday

January 31, 2015

January 31, 2015

Posted by **Mimi** on Friday, April 3, 2009 at 4:32am.

(a) Find the average velocity for the time period beginning when t = 2 and lasting 0.5 second.

ft/s

(b) Find the average velocity for the time period beginning when t = 2 and lasting 0.1 second.

ft/s

(c) Find the average velocity for the time period beginning when t = 2 and lasting 0.05 second.

ft/s

(d) Find the average velocity for the time period beginning when t = 2 and lasting 0.01 second.

? ft/s

(e) Estimate the instantaneous velocity when t = 2.

- Calculus -
**drwls**, Friday, April 3, 2009 at 7:18amThis will not use calculus. It is an exercise to show how to use algebra to approximate the instantaneous velocity that you would get using calculus.

Just use the formula

y = 44t - 16 t^2

multiple times.

For (a), y(2) = 88 - 64 = 24 ft

y(2.5) = 110 - 100 = 10 ft

Average velocity Vav

= [y(2.5) - y(2)]/0.5 = -28 ft/s

For (d), y(2.01)= 88.440 - 64.6416 = 23.7984

Vav = [y(2.01) - y(2)]/0.01

= (23.7984 -24)/0.01 = -20.16 ft/s

Do parts (b) and (c) yourself and notice the trends in average velocity as the time interval gets shorter

**Answer this Question**

**Related Questions**

math - If a ball is thrown straight up into the air with an initial velocity of ...

Math - If a ball is thrown straight up into the air with an initial velocity of ...

calculas - If a ball is thrown vertically upward from the roof of 48 foot ...

math - A person standing on the roof of a building throws a ball directly upward...

Calculus - If a ball is thrown in the air with a velocity 44 ft/s, its height in...

Calculus - 1.if a ball is thrown into the air with a velocity of 35ft/s, it's ...

Pre-Calculus - A ball is thrown up at the edge of a 364 foot cliff. The ball is ...

algebra - Height difference. A red ball and a green ball are simultaneously ...

Algebra - Height difference. A red ball and a green ball are simultaneously ...

Calculus help! - A ball is shot into the air from a bridge, and its height, y, ...