Problem: A stone is thrown upward from the edge of a cliff, reaches its maximum height, and then falls down into the valley below. A motion diagram for this situation is given (Figure 1) , beginning the instant the stone leaves the thrower’s hand.Construct a graph corresponding to the stone's vertical displacement, y(t), taking the acceleration due to gravity as exactly 10 m/s2. Ignore air resistance. The unit of time is in seconds and the unit of displacement is in meters. In plotting the points, round-off the coordinate values to the nearest integer.

FREE Expert Solution

UAM expressions:
 vf = v0 -gty= (vf+v02)ty= v0t-12gt2 vf2= v02 -2gy

Solve for V0 — consider from t = 0s to the turning point at t = 2 s:

vf = v0 - gt

vf = 0 m/s, g = 10 m/s2

v0 = vf + gt = 0 + (10)(2) = 20 m/s 

Graphing:

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Problem Details

A stone is thrown upward from the edge of a cliff, reaches its maximum height, and then falls down into the valley below. A motion diagram for this situation is given (Figure 1) , beginning the instant the stone leaves the thrower’s hand.

Construct a graph corresponding to the stone's vertical displacement, y(t), taking the acceleration due to gravity as exactly 10 m/s2. Ignore air resistance. The unit of time is in seconds and the unit of displacement is in meters. In plotting the points, round-off the coordinate values to the nearest integer.

Turning point at t 2 s Ul Start at y0 m



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