Question

nitial 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 – 39.2t 153 EndRoot i Over 8 EndFraction StartRoot 5 plus-or-minus StartRoot 103 EndRoot i Over 8 EndFraction StartRoot 1 plus-or-minus StartRoot 153 EndRoot Over 8 EndFraction

Answer 1

the height of the rocket after 5 seconds is 98.1 meters.

Explanation:

The correct equation to model the height of the rocket after t seconds is:

s(t) = -4.9t^2 + 39.2t

This is a quadratic equation that accounts for the acceleration due to gravity (-4.9 m/s^2) and the initial velocity of the rocket (39.2 m/s). The other equations you provided are either incorrect or incomplete.

To use this equation to find the height of the rocket at a specific time, simply plug in the value of t into the equation. For example, to find the height of the rocket after 5 seconds, you would plug in 5 for t and solve for s:

s(5) = -4.9 * 5^2 + 39.2 * 5

s(5) = 98.1 meters

Therefore, the height of the rocket after 5 seconds is 98.1 meters.