How can you find the following?
$(i)$ Velocity from a displacement-time graph.
$(ii)$ Acceleration from a velocity-time graph.
$(iii)$ Displacement from a velocity-time graph.
$(iv)$ Velocity from an acceleration-time graph.
$(i)$ Velocity from a displacement-time graph.
$(ii)$ Acceleration from a velocity-time graph.
$(iii)$ Displacement from a velocity-time graph.
$(iv)$ Velocity from an acceleration-time graph.
(N/A) $(i)$ By finding the slope of the displacement-time graph, where $v = \frac{\Delta \text{displacement}}{\Delta \text{time}}$.
$(ii)$ By finding the slope of the velocity-time graph, where $a = \frac{\Delta \text{velocity}}{\Delta \text{time}}$.
$(iii)$ By finding the area under the velocity-time graph, where $\text{Displacement} = \text{Area under } v-t \text{ graph}$.
$(iv)$ By finding the area under the acceleration-time graph, where $\Delta v = \text{Area under } a-t \text{ graph}$.
$(ii)$ By finding the slope of the velocity-time graph, where $a = \frac{\Delta \text{velocity}}{\Delta \text{time}}$.
$(iii)$ By finding the area under the velocity-time graph, where $\text{Displacement} = \text{Area under } v-t \text{ graph}$.
$(iv)$ By finding the area under the acceleration-time graph, where $\Delta v = \text{Area under } a-t \text{ graph}$.
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Two cars $A$ and $B$ have their displacement-time graph as given below. Which car has a greater velocity?
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View Solution$(a)$ Draw velocity-time graphs for the following cases:
$(i)$ When the object is at rest.
$(ii)$ When the object is thrown vertically upwards.
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$(i)$ When the object is at rest.
$(ii)$ When the object is thrown vertically upwards.
$(b)$ $A$ motorcyclist riding motorcycle $A$ who is travelling at $36 \, km \, h^{-1}$ applies the brakes and stops the motorcycle in $10 \, s$. Another motorcyclist of motorcycle $B$ who is travelling at $18 \, km \, h^{-1}$ applies the brakes and stops the motorcycle in $20 \, s$. Plot the speed-time graph for the two motorcycles. Which of the two motorcycles travelled farther before it came to a stop?
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View SolutionMention some uses of velocity-time graphs.
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