A body is at rest at ๐‘ฅ = 0. At ๐‘ก = 0, it starts moving in the positive ๐‘ฅ โˆ’direction with a constant acceleration. At the same instant another body passes through ๐‘ฅ = 0 moving in the positive ๐‘ฅ โˆ’direction with a constant speed. The position of the first body is given by ๐‘ฅ1(๐‘ก) after time ๐‘ก and that of the second body by ๐‘ฅ2 (๐‘ก) after the same time interval. Which of the following graphs correctly describes (๐‘ฅ1 โˆ’ ๐‘ฅ2 ) as a function of time ๐‘ก?

Question : A body is at rest at ๐‘ฅ = 0. At ๐‘ก = 0, it starts moving in the positive ๐‘ฅ โˆ’direction with a constant acceleration. At the same instant another body passes through ๐‘ฅ = 0 moving in the positive ๐‘ฅ โˆ’direction with a constant speed. The position of the first body is given by ๐‘ฅ1(๐‘ก) after time ๐‘ก and that of the second body by ๐‘ฅ2 (๐‘ก) after the same time interval. Which of the following graphs correctly describes (๐‘ฅ1 โˆ’ ๐‘ฅ2 ) as a function of time ๐‘ก?

(A)

(B)

(C)

(D)

Answer : option (B)

Solution :

A body is at rest at ๐‘ฅ = 0. At ๐‘ก = 0, it starts moving in the positive ๐‘ฅ โˆ’direction with a constant acceleration. At the same instant another body passes through ๐‘ฅ = 0 moving in the positive ๐‘ฅ โˆ’direction with a constant speed. The position of the first body is given by ๐‘ฅ1(๐‘ก) after time ๐‘ก and that of the second body by ๐‘ฅ2 (๐‘ก) after the same time interval. Which of the following graphs correctly describes (๐‘ฅ1 โˆ’ ๐‘ฅ2 ) as a function of time ๐‘ก?
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