Question

A model rocket is launched with an initial upward velocity of 60 m/s. The rocket's height h=601-572 Find all values of t for which the rocket's height is 27 meters. Round your answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.) 1 1 - seconds х х 5 5 ? ground

Answer 1

The question is about calculating the time instances when a model rocket with an initial upward velocity will reach a height of 27 meters, using the standard kinematic equations for projectile motion.

Step-by-step explanation:

The student is asking about the time it takes for a model rocket launched with an initial upward velocity to reach a specific rocket's height. The information provided seems to have a typo, but based on standard kinematic equations, the rocket's height h at a given time t can be modeled by the equation h(t) = v0t - (1/2)gt2 where v0 is the initial velocity and g is the acceleration due to gravity (approximately 9.8 m/s2).

Given the initial velocity of 60 m/s and the desired height of 27 meters, we would set up the equation as 27 = 60t - (1/2)(9.8)t2 and solve for t. By rearranging the equation and using the quadratic formula, we can find two values of t, one for the ascent and one for the descent.