With the x axis horizontal and the y axis vertically upward, the change in the horizontal component of velocity, Δv_x, and the change in the vertical component of velocity, Δv_y, of a projectile are related to the time since leaving the barrel, Δt, as A) Δv_x = 0; Δv_y = 0. B) Δv_x = gΔt; Δv_y = 0. C) Δv_x = 0; Δv_y = gΔt. D) Δv_x = 0; Δv_y = −gΔt. E) Δv_x = gΔt; Δv_y = −gΔt.

Question

Quizplus · Accepted Answer

In projectile motion, the horizontal component of velocity remains constant (no acceleration in the horizontal direction) because gravity only affects the vertical motion. Therefore, Δvx = 0. The change in the vertical component of velocity, Δvy, is due to gravity, which acts downward, making Δvy = -gΔt, where g is the acceleration due to gravity.

With the X Axis Horizontal and the Y Axis Vertically