Question

A model rocket is launched with an initial upward velocity of 67/ms. The rocket's height h (in meters) after t seconds is given by the following.

h= 67t-5t^2

Find all values of t for which the rocket's height is 30 meters.

Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

Answer 1

Step-by-step explanation:

The rocket's height h (in meters) after t seconds is given by:

$h=67t-5t^2$

67 m/s is the initial upward velocity of the rocket. We need to find the values of t for which the rocket's height is 30 meters. So equation (1) becomes :

$67t-5t^2=30$

$67t-5t^2-30=0$

The above equation is a quadratic equation. We need to find the value of t.After solving the quadratic equation, we get the values of t are :

t = 0.464 seconds = 0.46 seconds

or

t = 12.936 seconds = 12.94 seconds

Hence, this is the required solution.