On a dare, you decide to try bungee jumping. You fall freely you are moving at 15 m/s downward. At that point the cord begins to stretch. The cord slows you to a stop as it stretches, then pulls you back upwards. When the cord is no longer pulling on you, you are moving upwards at 8 m/s. The time between moving at 15 m/s downward and moving 8 m/s upward is 3 seconds. Draw a motion diagram for this situation. What is your acceleration as the bungee cord changes your direction? What is the direction of that acceleration?

Use the 6 step general problem solving strategy model.

Thank you so much!

1 answer

Step 1: Understand the Problem: On a dare, you decide to try bungee jumping. You fall freely you are moving at 15 m/s downward. At that point the cord begins to stretch. The cord slows you to a stop as it stretches, then pulls you back upwards. When the cord is no longer pulling on you, you are moving upwards at 8 m/s. The time between moving at 15 m/s downward and moving 8 m/s upward is 3 seconds. Draw a motion diagram for this situation. What is your acceleration as the bungee cord changes your direction? What is the direction of that acceleration?

Step 2: Devise a Plan: To draw a motion diagram, we will need to calculate the acceleration of the bungee jumper. We can use the equation a = (vf - vi)/t, where a is the acceleration, vf is the final velocity, vi is the initial velocity, and t is the time.

Step 3: Carry Out the Plan:
a = (8 m/s - 15 m/s)/3 s
a = -5 m/s2

Step 4: Look Back: The acceleration of the bungee jumper is -5 m/s2, which means that the direction of the acceleration is downward.

Step 5: Draw a Motion Diagram:

Step 6: State the Result: The acceleration of the bungee jumper is -5 m/s2 and the direction of the acceleration is downward.