Question

You (safely) bungee jump from a 200-feet tall bridge in your town. Your distance above the water's surface depends on the time since you jumped. Sketch a reasonable graph.

Answer 1

Using the function :

h(t) = 200 - 16t^2

The output graph will be a parabola as shown in the graph attached.

Answer 2

Explanation:

The vertical motion of the object is defined by using the height function h(t) such that :

h(t) = -16t² + vt + s , where t is the time instant , v is the initial velocity and s is the initial height of the object.

Now, the height of the bridge = 200 feet

So it would be the initial height ⇒ s = 200

Initially the speed is 0 because the body is in rest at time instant 0 sec.

Hence, the resultant equation is : h(t) = -16t² + 200

And the graph is attached below :