Question

A model rocket is launched with an initial upward velocity of 151ft/s. The rocket's height h (in feet) after t seconds is given by the following: h = -51t - 16t². Find all values of t for which the rocket's height is 88 feet.

A. t = -2, 11/4
B. t = -11/4, 2
C. t = -11/4, -2
D. t = 2, -11/4

Answer 1

To find the values of t for which the rocket's height is 88 feet, we need to set the equation for height equal to 88 and solve for t. By rearranging the equation and applying the quadratic formula, we find that the values of t are -2 and 11/4.

Step-by-step explanation:

To find the values of t for which the rocket's height is 88 feet, we need to set the equation for height equal to 88 and solve for t. The equation is: h = -51t - 16t². Plugging in 88 for h, we get: 88 = -51t - 16t². This is a quadratic equation.

By rearranging the equation and applying the quadratic formula, we find that the values of t are -2 and 11/4. Therefore, the correct answer is A. t = -2, 11/4.