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41 votes
41 votes
Jlvesh is analyzing the flight of a few of his model rockets with various equations. In each equation, h is

the height of the rocket in centimeters, and the rocket was fired from the ground at timet = 0, where t is

measured in seconds.

Jivesh also has a more powerful Model B rocket. For this rocket, he uses the equation h=-90t4 + 300t.

When is the height of the Model B rocket 250 centimeters? Round your answers to the nearest

hundredth.

After t =

seconds, the rocket will have reached a height of 250 centimeters.

User Lmarqs
by
2.9k points

1 Answer

13 votes
13 votes

Answer:

After t = 1.67 seconds, the rocket will have reached a height of 250 centimeters.

Explanation:

Given


image --- correct expression

Required: When does height = 250 cm

To do this, we have:


image

This gives:


image

Rewrite as:


image

Divide through by 10


image

Expand


image

Factorize:


image


image

This gives:


image

Solve for 3t


image

Solve for t


image


image

User Dan Mangiarelli
by
3.0k points