The projectile motion of an object can be modeled using s (t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s (t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is - 4.9 m/s2. A rocket is launched from the ground at an initial velocity of 39.2 meters per second. Which equation can be used to model the height of the rocket after t seconds? s (t) = - 4.9t2 + 39.2 s (t) = - 4.9t2 + 39.2t s (t) = - 4.9t2 + 39.2t + 39.2 s (t) = - 4.9t2 + 39.2t - 39.2

Question

Annabelle Valencia

Mathematics

30 August, 20:44

The projectile motion of an object can be modeled using s (t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s (t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is - 4.9 m/s2. A rocket is launched from the ground at an initial velocity of 39.2 meters per second. Which equation can be used to model the height of the rocket after t seconds? s (t) = - 4.9t2 + 39.2 s (t) = - 4.9t2 + 39.2t s (t) = - 4.9t2 + 39.2t + 39.2 s (t) = - 4.9t2 + 39.2t - 39.2

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Answers (1)

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Lorena Craig · Answer 1

Given the model:

s (t) = gt2 + v0t + s0

and the details of the system, we have:

g = - 4.9

v0 = 39.2 m/s

s0 = 0

Plugging in these values to the model, we have:

s (t) = - 4.9t2 + 39.2t

The second options is the answer.