Thursday

October 30, 2014

October 30, 2014

Posted by **chris** on Wednesday, November 30, 2011 at 11:08pm.

h(t)= -1/3t^3 + 16t^2 + 33t + 10

When is the rocket rising?

When is the rocket decreasing?

when does it reach its maximum height above the ground?

what is the maximum height?

what is the velocity and when does maximum velocity occur?

- calc 2 -
**drwls**, Wednesday, November 30, 2011 at 11:23pmThe rocket is rising when the derivative dh/dt > 0

dh/dt = -t^2 +32t +33.

The rocket is descending when dh/dt <0.

Maximum height occurs when dh/dt = 0

Use the t when that happens to compute h(t) at maximum height

Maximum velocity occurs when the second derivative d^h/dt^2 = 0

d^2h/dt^2 = -2t + 32 = 0 @ max V

t = 16 s at maximum velocity

**Answer this Question**

**Related Questions**

calculus - The height (in feet) attained by a rocket t seconds into flight is ...

Math - Two kids are building a rocket for science class. once the rocket is ...

Calculus - The altitude (in feet) attained by a model rocket t seconds into ...

Math - A rocket is launched upward and then falls to the ground. The height of ...

algebra - the path of a rocket fired during a fireworks display is given by the ...

Algebra - A toy rocket that is shot in the air with an upward velocity of 48 ...

Algebra: Quadratic Functions - A model rocket is launched with an initial ...

calculus - the height in feet of a rocket from ground level is given by the ...

Intermediate Algebra - A model rocket is launched from a height of 50 feet. the...

college algebra - A model rocket is launches upward with an initial velocity of ...