Calculate Velocity and Average Velocity in Physics Lab

What is the velocity of the student at t = 2.0 s?

a) v = Δt b) v = Δt/2 c) v = 2/Δt d) v = 1/Δt

Answer:

Calculating the velocity at t = 2.0 s with the given equation yields 9.0 m/s.

To calculate the velocity of the student at a specific time using the given information, one must understand the principles of motion in physics. For part (a), if we have the equation v = 3.0 + 1.5t² m/s, substituting t = 2.0 s gives us v(2.0 s) = [3.0 + 1.5(2.0)²] m/s which equals 9.0 m/s. This is the instantaneous velocity at t = 2.0 s.

To find the average velocity, one needs the positions at two different times to apply the formula for average velocity. Without explicit positions, we cannot solve this part outright without additional information. However, if given the positions at 1.0 s and 3.0 s, one can apply the formula ºr{v} = (x(t2) - x(t1)) / (t2 - t1) accordingly.

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