Posted by **Anonymous** on Saturday, October 8, 2011 at 1:32pm.

If a rock is thrown upward on the planet Mars with a velocity of 7 m/s, its height in meters t seconds later is given by y = 7t − 1.86t2. (Round your answers to two decimal places.)

(a) Find the average velocity over the given time intervals.

(i) [1, 2]

(ii) [1, 1.5]

(iii)[1, 1.1]

(iv) [1, 1.01]

(v) [1, 1.001]

(b) Estimate the instantaneous velocity when t = 1.

- Calculus -
**Anonymous**, Saturday, October 8, 2011 at 1:34pm
the equation is y= 7t-1.86t^2

- Calculus -
**Steve**, Saturday, October 8, 2011 at 6:12pm
To get the average velocity (m/s), on the interval [a,b] just calculate [y(b)-y(a)]/(b-a) -- in other words, how far it moved (distance), divided by how long it took (time)

I figure you can probably do that. You are, after all, taking calculus, so your algebra I should be OK.

The results in steps i-v should show a sequence converging on y'(1) where

y'(t) = 7 - 3.72t

y'(1) = 3.28

## Answer this Question

## Related Questions

- calculus - If a rock is thrown upward on the planet Mars with a velocity of 13 m...
- Calculus - f a rock is thrown upward on the planet Mars with a velocity of 7 m/s...
- Calculus - If a rock is thrown upward on the planet Mars with a velocity of 14 m...
- Calc - If a rock is thrown upward on the planet Mars with a velocity of 17 m/s, ...
- Calculus - If a rock is thrown upward on the planet Mars with a velocity of 10 m...
- math - If a rock is thrown upward on the planet Mercury with a velocity of 11 m/...
- math - If a rock is thrown upward on the planet Mercury with a velocity of 11 m/...
- math - If a ball is thrown directly upward with a velocity of 14 m/s, its height...
- Calculus - A rock is thrown off of a 100 foot cliff with an upward velocity of ...
- calculus - A rock is thrown off of a 100 foot cliff with an upward velocity of ...