Question

i)Identify the type of motion in the following graph .

ii)What does the area under a velocity time graph represent?​

Answer 1

Answer:

1. static motion

2. uniform acceleration

the area under a speed-time graph represents the distance travelled.

Answer 2

i) The object is stationary and is not moving. Hence there is no motion.

ii) The area under the velocity-time graph represents the acceleration.

Position-time graph

• i) The graph shown in picture 1 is a position-time graph. is used to denote the motion of an object with respect to time.
• Here, the displacement is unaffected with respect to time. In other words, the distance doesn't change with time. Thus, the object is stationary and is not moving. Hence there is no motion.
• ii)The velocity-time graph gives information about the acceleration of the object. Here, the area under the velocity-time graph represents the acceleration.
• Let us suppose the velocity of the object at times $t_{1}$ and $t_{2}$  is $v_{1}$ and $v_{2}$ respectively. Thus the area under the velocity-time graph gives:
• Tanθ = $v_{2}$ - $v_{1}$ ÷ $t_{2}$  -  $t_{1}$  = acceleration

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