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Answer :
Final answer:
The time it takes for the toy rocket to reach its maximum height is approximately 2.73 seconds, based on its initial vertical velocity of 88 ft/s and assuming a gravity of 32.2 ft/s². The maximum height the rocket will reach from the launching pad is approximately 123 feet.
Explanation:
The concept in question is familiar in physics, specifically kinematics. To find the time it takes for the rocket to reach its maximum height, we need to use the formula related to its vertical motion: t = Voy/g, where Voy is the initial vertical velocity and g is the acceleration due to gravity. For the given values, the toy rocket's initial vertical velocity (Voy) is 88 ft/s, and in feet per second squared, gravity (g) is approximately 32.2 ft/s². Plug these into the equation: t = 88 / 32.2 which is approximately 2.73 seconds.
As for the maximum height, it can be calculated using the formula: y = Yo + Voy*t - 0.5*g*t², where Yo is the initial position (4 ft), Voy is the initial vertical velocity, g is the acceleration due to gravity, and t is the time at which the maximum height is reached. Therefore, y = 4 + 88*2.73 - 0.5*32.2*(2.73)². Thus, the maximum height is approximately 123 feet.
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