The variation of quantity A with quantity B is plotted in the given figure which describes the motion of a particle in a straight line.
Consider the following statements:
| a. | Quantity B may represent time. |
| b. | Quantity A is velocity if motion is uniform. |
| c. | Quantity A is displacement if motion is uniform. |
| d. | Quantity A is velocity if motion is uniformly accelerated. |
Select the correct option:
| 1. | (a, b, c) | 2. | (b, c, d) |
| 3. | (a, c, d) | 4. | (a, c) |
(3) Hint: Recall the concept of uniform motion and uniformly accelerated motion.
Step 1: Find the nature of displacement-time graph in uniform motion.
When we are calculating the velocity of a displacement-time graph we have to take slope similarly we have to take the slope of the velocity-time graph to calculate acceleration.
Step 2: Find the nature of velocity-time graph for uniformly accelerated motion.
When the slope is constant motion will be uniform. When we are representing motion by a graph it may be displacement-time, velocity-time or acceleration-time hence, B may represent time. For uniform motion, the velocity-time graph should be a straight line parallel to the time axis. For uniform motion velocity is constant hence slope will be positive. Hence quantity A is displacement.
For uniformly accelerated motion slope will be positive and A will represent velocity.
© 2024 GoodEd Technologies Pvt. Ltd.
