Question

which graph represents motion with constant nonzero acceleration? a b c d

Explanation:

Step1: Recall the formula for acceleration

Acceleration \(a=\frac{\Delta v}{\Delta t}\), where \(\Delta v\) is the change in velocity and \(\Delta t\) is the change in time. For a constant non - zero acceleration, the velocity - time graph should be a straight line. The slope of the velocity - time graph gives the acceleration.

• Graph A: It is a horizontal line. The slope \(m = 0\), so \(a=0\) (constant zero acceleration).
• Graph B: It is a straight line. The slope \(m=\frac{\Delta v}{\Delta t}\) is constant and non - zero. So, the acceleration \(a=\text{slope}\) is constant and non - zero.
• Graph C: The slope of the curve is increasing. Using \(a = \frac{\Delta v}{\Delta t}\), the acceleration is increasing.
• Graph D: The slope of the curve is decreasing. Using \(a=\frac{\Delta v}{\Delta t}\), the acceleration is decreasing.

Answer:

B