In: Physics
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
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.