Question

devon is a trampoline gymnast. during one of her routines, she bounces high into the air and does a series of twists before landing on the trampoline. which graph could show devons height above the trampoline over time? two graphs are shown, one with a trapezoidal shape (constant height during the middle) and one with a parabolic shape (curved peak) for height vs. time, with y-axis labeled height above trampoline (ft.) and x-axis labeled time (sec.)

Explanation:

Step1: Analyze motion physics

When a person jumps, height vs time follows a parabolic path (due to gravity: \( h(t) = -gt^2 + v_0t + h_0 \)), where height increases then decreases smoothly (curved), not linearly with a flat top.

Step2: Compare graphs

Left graph has linear rise, flat top, linear fall (unrealistic for free - fall). Right graph is a parabola (curved rise and fall), matching projectile motion (jump under gravity).

Answer:

The graph on the Right