Answer
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Work Step by Step
(a) The motion is to the right as the vectors point to the right. The vector is the frame that represents the time interval or the distance between two images. As the frame increases, the velocity increases. As shown by the figure, the velocity is constant from point (1) to point (2) as the frames are the same size, then it starts to increase between points (2) and (3) as the frames increase. So, the acceleration is zero between the two points (1) and (2) and it is constant between (2) and (3). To draw the acceleration vector, draw the final velocity vector, then draw the initial velocity vector from the tip of the final one. Finally, draw the difference between both velocities $\Delta v$ and this vector represents the direction of the acceleration and draw the vector at the middle point in the direction of $\Delta v$ and label it with $a$.
(b) A ball at height 1 m moves a distance 100 cm from point 1 to point 2 with a constant speed $0.5 $ m/s, then falls from the table and touches the ground at speed 2 m/s. Find the total time from the beginning till the ball reaches the ground.