Posted by **james** on Thursday, January 13, 2011 at 9:29pm.

A model space shuttle is propelled into the air and is described by the equation y= (-x2/2e) +ex (in 1000 ft), where y is its height in feet above the ground. What is the maximum height that the shuttle reaches?

- optimization -
**tchrwill**, Sunday, January 16, 2011 at 9:50am
You state that the altitude reached is defined by

y = ex - x^2/2e.

This compares to the normal expression for altitude of

h = Vo(t) - gt^2/2

where h = the maximum altitude, Vo = the initial velocity, t = the time and g = the acceleration due to gravity.

I therefore assume that your expression for the maximum altitude reached should read as

y = ex - gx^2/2

where e = the initial velocity, x = the time and g is as defined earlier.

Since you give no values for e, g or t, a specific quantitative answer is not possible.

## Answer This Question

## Related Questions

- Calculus Optimization - A model space shuttle is propelled into the air and is ...
- Calculus Optimization - A model space shuttle is propelled into the air and is ...
- Math - The formula h=48t-16t^2 gives the height, h, in feet, of an object ...
- Algebra - Suppose a model of the space shuttle "Endeavour" is 10 inches tall. ...
- Physics - The space shuttle is in a 3e+5 m high orbit over the earth. The radius...
- algebra Please help - .A toy rocket is shot vertically into the air from a ...
- related rates - After blast-off, a space shuttle climbs vertically and a radar-...
- Math - The height of a golf ball that is hit into the air with an initial ...
- algebra - a rock is thrown into the air from a height of 4 feet. the height of ...
- PHYSICS - Ms. Anderson shoots an arrow straight up into the air. The arrow ...

More Related Questions