Question

In: Physics

In this lab, an apple is released from rest and falls freely until it lands in...

In this lab, an apple is released from rest and falls freely until it lands in a bowl. Watch the video here. We will be measuring y (the vertical position coordinate) as a function of time t. Notation: y0 is the value of y at t = 0; vy is the y-component of the velocity; vy0 is the value of vy at t = 0; ay is the y-component of the acceleration. The +y-direction is up. Assuming air resistance is negligible:

Which of these is the expected form of the equation for vy(t)?   (Click to select)

(a) vy(t) = v0yt + y0
(b) vy(t) = ayt2 + v0yt + y0
(c) vy(t) = ayt + v0y
(d) vy(t) = (1/2)ayt2 + v0yt + y0

Solutions

Expert Solution

From Newton's first equation of motion when applied along vertical direction, we have

vy=uy+ay×t, where vy is the final velocity along vertical direction, uy is the initial velocity along vertical direction, and ay is the the acceleration along vertical direction.


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