Classical Mechanics

# 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 $$t?$$

×