How can you determine an object's average velocity from a position time graph
1 answer:
The average velocity can be calculated from the slope of the graph
Explanation:
In a position-time graph, the position is represented on the y-axis while the time is represented on the x-axis.
The slope of the graph is given by:
where
is the change in the y-variable
is the change in the x-variable
However, we have:
corresponds to the change in position, therefore it is the displacement
corresponds to the change in time
This means that the slope can be rewritten as
However, this ratio corresponds to the definition of average velocity:
Therefore, the slope of a position-time graph gives the average velocity.
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Answer:
A) If the paintball stops completely the magnitude of the change in the paintball’s momentum is
B) If the paintball bounces off its target and afterward moves in the opposite direction with the same speed, the change in the paintball’s momentum is
C) A paintball bouncing off your skin in the opposite direction with the same speed hurts more than a paintball exploding upon your skin because of the strength exerted is twice than if it explodes.
Explanation:
Hi
A) We use the formula of momentum , so we have
B) We use the same formula above, then due we have a change of direction at the same speed, therefore the change in the momentum is the double so
.
C) The average strength of the force an object exerts during impact is determined by the amount the object’s momentum changes. therefore
, as we don't have any data about the impact time but we know momentum is twice, time does no matter and strength is twice too.