Which of the following quantities is directly proportional to the time interval after a projectile has left the barrel that shot it out? The x axis is horizontal;the y axis is vertically upward. B)Δa_y C)Δy E)Δv_y

Question

Quizplus · Accepted Answer

The vertical displacement of a projectile is given by the equation Δy = v₀t + 1/2gt², where v₀ is the initial vertical velocity, t is the time interval after the projectile has left the barrel, g is the acceleration due to gravity, and t² represents the square of the time interval. The change in vertical velocity is given by the equation Δv = gt, where g is the acceleration due to gravity and t is the time interval after the projectile has left the barrel. Therefore, Δv/Δt = g, which is a constant value. This means that the change in vertical velocity is directly proportional to the time interval after the projectile has left the barrel, and the answer is E, Δv/Δt, which is equivalent to (v - v₀)/t.

Which of the Following Quantities Is Directly Proportional to the Time