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Motion In Straight Line

Question
CBSEENPH11017206

Show that acceleration is directly proportional to time. 

Solution

Since it given that,
                          straight nu proportional to space straight t squared
i.e.           space space space space space space space space space space space space space
space space space space space space space space space space space space space straight nu equals kt squared
therefore space space space space space space space space space straight alpha equals dν over dt equals 2 kt
straight i. straight e. space space space space space space space space straight alpha space space proportional to space space straight t
Acceleration of the particle is directly proportional to the time, i.e. acceleration increases linearly with time.