Question

1. If you change the initial velocity, do you expect the trajectory to change? (Use the equation to prove this).
2. Even if you roll the ball from the same spot on the incline, you get slightly different initial velocities; explain why.

Answer 1

The trajectory will change if the initial velocity is changed because the x - displacement is proportional to the initial velocity. This is given as

x = v_ot

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Even if we roll the ball from the same spot on the incline, we get slightly different initial velocities because of air resistance in real conditions, which will affect x - displacement and we know very well that x - displacement depends on velocity, so, we get slight change in initial velocity