A rocket is fired such that its height h(in km) is given by h=41t-t^2. For what values of t(in min) is the height greater than 400 km?

Kendra Hudson

Kendra Hudson

Answered question

2022-09-03

A rocket is fired such that its height h(in km) is given by h = 41 t t 2 . For what values of t(in min) is the height greater than 400 km?

Answer & Explanation

Caiden Li

Caiden Li

Beginner2022-09-04Added 17 answers

Set h = y
t = x
The graph of y = 41 x x 2 shows:
Y, or the height, is equal to 400 at the points (16,400) and(25,400).
16
Kailey Vargas

Kailey Vargas

Beginner2022-09-05Added 2 answers

Since this equation gives the height of the rocket after t seconds. We set h(t) = 400 and solve for t.
h ( t ) = 41 t t 2
400 = 41 t t 2
0 = 400 + 41 t t 2
or
t 2 41 t + 400 = 0
Then we solve for t using the quadratic formula
16

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?