So for each of the statements we have to write true or rewrite the part in Caps to make the sentence true. I'm only stuck on a couple.
1. On a position-time graph, the average velocity equals the run MULTIPLIED by the rise.
2. A child drops a ball. The instantaneous velocity of the ball as the child lets go is ZERO.
3. A child drops a ball. The instantaneous acceleration of the ball as the child lets go is ZERO.
4. A toy rocket is launched vertically upward. When the rocket reaches its highest point, its velocity is at ITS MAXIMUM.
I think 1 is divided, 2 is true, 3 is true or 9.80m/s^2, and I don't know about 4
4. is zero
1. It depends upon which variable is "the rise" (y axis) and which is "the run" (x axis).
Velocity is the change in position divided by the change in time.
The others are OK
Is 3 True? or is the answer 9.80?
For 3, your answer of 9.8 m/s^2 (not zero) is correct. The letter "g" or "acceleration of gravity" would also be correct
To answer the questions and determine whether the statements are true or need rewriting, let's understand the concepts involved in each statement:
1. On a position-time graph, the average velocity equals the run MULTIPLIED by the rise.
To determine the average velocity on a position-time graph, we need to calculate the slope of the line connecting two points on the graph. The slope is commonly calculated as the rise over the run (change in position over change in time). So, the statement should say that average velocity is equal to the rise divided by the run. Therefore, you are correct, the statement needs to be rewritten. The correct statement would be "On a position-time graph, the average velocity equals the rise DIVIDED by the run."
2. A child drops a ball. The instantaneous velocity of the ball as the child lets go is ZERO.
When a child drops a ball, the ball starts with zero initial velocity (as it was not moving when let go) and accelerates downwards due to gravity. Therefore, the statement is true.
3. A child drops a ball. The instantaneous acceleration of the ball as the child lets go is ZERO or 9.80 m/s^2.
When a child drops a ball, the ball experiences a constant acceleration due to gravity, which is approximately 9.80 m/s^2 near the Earth's surface. Therefore, the statement is true. However, it is worth mentioning that the acceleration is not zero; rather it is approximately 9.80 m/s^2.
4. A toy rocket is launched vertically upward. When the rocket reaches its highest point, its velocity is at ITS MAXIMUM.
When the toy rocket is launched vertically upward, its velocity gradually decreases until it reaches its highest point, where it momentarily comes to a stop (velocity equals zero). So, when the rocket reaches its highest point, its velocity is not at its maximum but rather zero. Therefore, the statement needs to be rewritten. The correct statement would be "A toy rocket is launched vertically upward. When the rocket reaches its highest point, its velocity is ZERO."
I hope this explanation helps clarify the concepts and assists you in answering the questions accurately.