At what point on the position-time graph shown is the object's instantaneous velocity greatest?

Physics

2 answers:

ioda4 years ago

7 0

I'm probably going to have to say C. E as it seems the steepest right around there. If I'm wrong on that, it has to be B. B

gizmo_the_mogwai [7]4 years ago

7 0

Answer:

The velocity is greatest at B.

Explanation:

The velocity or instantaneous rate of change is represented on a sketch by the slope of the position curve at a point.

Analyzing the points.

The slope at points F or D have slope as 0, since we have flat tangent lines for them.

The slope for point E is negative, since the curve is decreasing.

The slope for point B is positive, since the curve is increasing at B.

Thus the greatest value of the velocity is point B due the curve is increasing at that point, and the velocity is represented by its slope.

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A hovering mosquito is hit by a raindrop that is 50 times as massive and falling at 8.4 m/s, a typical raindrop speed. How fast

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The final velocity after the collision is 8.2 m/s

Explanation:

We can solve this problem by using the law of conservation of momentum: in fact, if we consider the system to be isolated (=no external unbalanced forces), the total momentum of the raindrop+mosquito must be conserved before and after the collision.

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$p_i = p_f\\m_1 u_1 + m_2 u_2 = (m_1+m_2)v$