(A) Assertion : If acceleration in direction of velocity is decreasing then speed will decrease.(R) Reason : Retardation of any particle decreases it's speed.
Question
(A) Assertion : If acceleration in direction of velocity is decreasing then speed will decrease.(R) Reason : Retardation of any particle decreases it's speed.
Solution 1
The assertion and the reason are both correct, and the reason correctly explains the assertion.
Step 1: Understanding the Assertion The assertion states that if acceleration in the direction of velocity is decreasing, then speed will decrease. This is true because acceleration is the rate of change of velocity. If acceleration is decreasing, it means the rate of change of velocity is slowing down, which in turn means the speed (magnitude of velocity) is decreasing.
Step 2: Understanding the Reason The reason given is that retardation of any particle decreases its speed. Retardation is just another term for negative acceleration or deceleration. When a particle is decelerating, its speed is decreasing.
Step 3: Connecting the Assertion and Reason The reason correctly explains the assertion. When acceleration in
Solution 2
The assertion and the reason are both correct, and the reason correctly explains the assertion.
Step 1: Understanding the Assertion The assertion states that if acceleration is in the direction of velocity and it is decreasing, then the speed will decrease. This is true because acceleration is the rate of change of velocity. If acceleration is decreasing and is in the same direction as velocity, it means the rate at which velocity (and hence speed) is increasing is reducing. This would eventually lead to a decrease in speed.
Step 2: Understanding the Reason The reason given is that retardation of any particle decreases its speed. Retardation is negative acceleration. When a particle is retarding, it means it is slowing down, hence its speed is decreasing.
Step 3: Connecting the Assertion and the Reason The reason correctly explains the assertion. When acceleration (which is in the direction of velocity) is decreasing, it is essentially a form of retardation. As explained in the reason, retardation leads to a decrease in speed. Hence, the assertion that a decrease in acceleration in the direction of velocity leads to a decrease in speed is correctly explained by the reason.
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