A ball is thrown vertically upwards. Which of the following plots represents the speed-time graph of the ball during its height if the air resistance is not ignored
Answers
Answer:
The annswer is option (c)
Explanation:
The graph of the figure is attached.
We know from the first equation of motion
v = u + at ........... (1)
There will be two accelerations at work here, the acceleration due to gravity and the acceleration due to air resistance which will be in the direction opposite to the motion of the ball
Therefore, while going up, the air resistance will be downwards and while going down, it will be upwards
The resultant acceleration will be a
Since eq (1) is a linear equation in v and t, therefore, graph of speed v and time t will be linear with negative slope as acceleration is negative, after some time it will be zero and again when the ball is coming downwards, the slope of speed time graph will be positive because acceleration will be positive (the acceleration due to air resistance will be much lesser than that of acceleration due to gravity).
Therefore, the correct graph is the graph given in option (c)
