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Classical Mechanics

1D Kinematics

Position-time graph - constant velocity

         

The position of particle \( A \) moving along the \( x\)-axis is given by the above diagram, where the vertical scalings are \( a = 32 \text{ m} \) and \( b= -48 \text{ m}. \) Assuming that particle \(A\) keeps moving in the same manner, find the position of particle \( A \) at \( t = 11 \text{ s}. \)

The above diagram is the position versus time graph of a particle which is moving along the \( x\)-axis. Find the velocity of the particle at \( t= 7 \text{ s}. \)

The position of particle \( A \) moving along the \( x\)-axis is given by the above diagram. Assuming that particle \(A\) keeps moving in the same manner, find the position of particle \( A \) at \( t = 34 \text{ s}. \)

Cars \( A \) and \( B\) move in the same direction in adjacent lanes. The position \( x_A \) of car \( A \) from \( t = 0 \text{ s} \) to \( t = 7.0 \text{ s}\) is given in the above graph, Car \(B\) moves at a constant velocity of \( 8 \text{ m/s} \) and its position at \( t =0 \text{ s} \) is \(x_B = 0. \) Find the time when car \( B\) gets ahead of car \( A. \)

The position of particle \( A \) moving along the \( x \)-axis is given by the above diagram, from \( t = 0 \text{ s} \) to \( t = 10 \text{ s}.\) Which of the following correctly manifests the position of particle \(A\) in terms of \(t?\)

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