High School

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A toy rocket is launched upward from the ground against gravity at a velocity of 40 m/s. If [tex]t[/tex] is the time of travel after launch, find the velocity and height at any time [tex]t[/tex].

Answer :

The time it takes for a rocket to reach a velocity of 400 m/s with an acceleration of 20 m/s² is 20 seconds.

We use the equation v = [tex]v_o[/tex] + at.

Given:
Initial velocity,[tex]v_o[/tex] = 0 m/s
Acceleration, a = 20 m/s²
Final velocity, v = 400 m/s
Time, t = ?

Using the equation, we rearrange it to solve for time:
t = (v - [tex]v_o[/tex]) / a
t = (400 m/s - 0 m/s) / 20 m/s²
t = 20 seconds

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