Question

A model rocket is launched with an initial upward velocity of 45 m/s the Rockets height H in meters after T seconds is given by the following H equals 45T minus 5T squared find all values of tea for which the Rockets height is 25 m

Answer 1

To find the values of t for which the rocket's height is 25m, we can set the equation of height equal to 25 and solve for t. The values of t are approximately 1.52s and 7.48s.

Step-by-step explanation:

To find the values of t for which the rocket's height is 25m, we can set the equation of height equal to 25 and solve for t.

45t - 5t² = 25

5t² - 45t + 25 = 0

Using the quadratic formula, we can find the values of t:

t = (45 ± √(45² - 4(5)(25)))/(2(5))

t = (45 ± √(2025 - 500))/10

t = (45 ± √(1525))/10

Therefore, the values of t for which the rocket's height is 25m are approximately t = 1.52s and t = 7.48s.