Question

1. which of the following graphs shows an object with a constant positive acceleration? a velocity time c velocity time b velocity time d velocity time

Explanation:

Step1: Recall acceleration - velocity relationship

Acceleration $a=\frac{\Delta v}{\Delta t}$, which is the slope of the velocity - time graph.

Step2: Analyze Graph A

In Graph A, velocity is constant. So, $\frac{\Delta v}{\Delta t}=0$, acceleration is zero.

Step3: Analyze Graph B

In Graph B, velocity is increasing linearly with time. The slope $\frac{\Delta v}{\Delta t}> 0$ and is constant, indicating a constant positive acceleration.

Step4: Analyze Graph C

In Graph C, velocity is decreasing linearly with time. The slope $\frac{\Delta v}{\Delta t}<0$, indicating a constant negative acceleration.

Step5: Analyze Graph D

In Graph D, velocity is zero for all time. So, $\frac{\Delta v}{\Delta t}=0$, acceleration is zero.

Answer:

B. Graph B