Question

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; v_y is the y-component of the velocity; v_y0 is the value of v_y at t = 0; a_y is the y-component of the acceleration. The +y-direction is up.

Assuming air resistance is negligible:

1. What shape do you expect for a graph of y vs t?   (Click to select)   line with zero slope   line with positive slope   line with negative slope   parabola

2. Which of these is the expected form of the equation for y(t)?   (Click to select)   a   b   c   d

(a) y(t) = v_0yt + y₀
(b) y(t) = a_yt² + v_0yt + y₀
(c) y(t) = a_yt + v_0y
(d) y(t) = (1/2)a_yt² + v_0yt + y₀

3. What shape do you expect for a graph of v_y vs t?   (Click to select)   parabola   line with negative slope   line with positive slope   line with zero slope

Answer 1

j1) The graph is parabola and it is positively sloped

2)The equation for y(t) is y(t) = (1/2)a_yt² + v_0yt + y₀

3) The velocity equation as a function of time is V_y = a_yt + V_0y ,with positive slope of a_y.

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