Question

A cricket ball is projected vertically upward such that it returns back to the thrower. Which of the following graphs depicts the variation in kinetic energy with time? Give reason for your answer.
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Answer 1

Answer:

Graph (c): The speed of the ball goes on decreasing uniformly as it moves upwards, reaches zero at the highest, and then increases uniformly as it moves downward.  

(ii) Graph(a): The speed of the trolley decreases uniformly, then it moves at a constant speed, and then speed increases uniformly.

Explanation:

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Answer 2

Answer: Option (b) is the correct option.

Given: A cricket ball is projected vertically upward.

To Find: Which of the following graphs depicts the variation in kinetic energy with time?

Explanation:

Step 1: The energy an item has as a result of motion is known as kinetic energy. A force must be applied to an item in order to accelerate it. We must put forth effort in order to apply a force. After the job is finished, energy is transferred to the item, which then moves at a new, constant speed.

Step 2: When we throw a ball vertically upward it's speed start deceasing to zero. That means it's kinetic energy initially high and start decreasing to zero and when it's speed increases then it's kinetic energy also increases.

Mathematically,

$v=u-gt$ and

$K.E.=\frac{1}{2} mv^2\\\\K.E.=\frac{1}{2} m(u-gt)^2\\\\K.E.=\frac{1}{2} m(u^2+g^2t^2-2ugt)\\\\K.E.=\frac{1}{2} mg^2t^2-mugt+\frac{1}{2}mu^2$

which represent a parabola Which has only one value equal to zero.

Thus option (b) is the correct option.

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