A kangaroo-like animal on a mysterious planet jumps and then moves in freefall m
ID: 1267297 • Letter: A
Question
A kangaroo-like animal on a mysterious planet jumps and then moves in freefall motion, first straight up, and then straight down as the planet's gravitational acceleration reverses its direction. Its vertical position at a certain time is described by the function y(t) = -t2 + 4.0t + 4.0, where y is in meters and t is in seconds. (a) Draw the position versus time graph from t = -2.0 s to t = 6.0 s. (b) Determine the displacement from t = 0 s to t = 2.0 s. (c) Determine the average vertical velocity from t = 0 s to t = 2.0 s. (d) Determine the average vertical velocity from t = 1.0 s to t = 2.0 s. (e) Draw a line tangent to the graph at t = 2.0 s. What is its slope? (f) Assume there is no air resistance. What is the acceleration due to gravity on this planet?
Explanation / Answer
Use the energy conservation principle
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