Question

A model rocket launched with an initial upward velocity of 126 ft/s. The rocket's height h (in feet) after t seconds is given by the following.

h - 126t - 16t²
Find all values of t for which the rocket's height is 50 feet.
Round your answer(s) to the nearest hundredth.

Answer 1

To find the values of t when the rocket's height is 50 feet, you can set the equation for height equal to 50 and solve for t using the quadratic formula.

Step-by-step explanation:

To find the values of t when the rocket's height is 50 feet, we can set the equation for height equal to 50 and solve for t. The equation is: h = 126t - 16t². Substituting 50 for h, we get 50 = 126t - 16t². Rearranging the equation and setting it equal to zero gives us a quadratic equation: 16t² - 126t + 50 = 0. We can solve this equation using the quadratic formula: t = (-b ± sqrt(b² - 4ac)) / (2a). Plugging in the values a = 16, b = -126, and c = 50, we can calculate the values of t that satisfy the equation.