Question

a ball is projected upward with an initial speed of approximately 50 m/s. the diagram at the right represents its position at 1-second intervals of time. at what location will the ball have a speed of 0 m/s? tap to toggle through answer options: tap here

Explanation:

Step1: Recall projectile motion concept

When a ball is projected upward, it is under the influence of gravity. Its velocity decreases as it moves up, and at the maximum height, the vertical velocity becomes 0 m/s (assuming we consider vertical motion; horizontal velocity, if any, would remain constant, but here the diagram's spacing suggests vertical motion analysis as the vertical distance between points changes).

Step2: Analyze the diagram's spacing

Looking at the vertical positions (the rows with letters F, E, D, C, B, A), the distance between consecutive points (at 1 - second intervals) decreases as we move up (towards F from lower rows) because the speed is decreasing (acceleration due to gravity is downward, slowing the upward motion). At the peak (maximum height), the ball stops momentarily (speed 0) before starting to fall down. The point where the vertical spacing between consecutive 1 - second intervals becomes zero (or the point where the ball changes direction from upward to downward) is the location of maximum height, which corresponds to the highest point in the diagram. From the diagram, the highest point among the labeled rows is near F (since F is the top - most labeled row with a point, and the spacing between points below F shows decreasing upward distance, indicating the ball is slowing down as it approaches F, and at F (or the point above E - G row, the highest point) the speed becomes 0. Assuming the diagram's vertical axis is height, the highest point (where speed is 0) is at the location corresponding to the peak, which is the top - most point in the vertical sequence, likely the point near F (the highest row with a point, as the ball's upward speed decreases until it reaches 0 at maximum height).

Answer:

The ball will have a speed of 0 m/s at the highest point in the diagram (the location corresponding to the peak of its trajectory, likely the point near the row labeled F, as it is the maximum height reached where vertical velocity becomes 0). If we assume the options are related to the labels, and F is the highest vertical position, the location is near F (or the specific point in the F - row region).