Question: If you are wearing skates and standing on a frictionless ice rink with a jet pack that can produce a constant horizontal force of 75 lbf = 334 N, what is your speed after 5 seconds?

Answer: Your speed after 5 seconds would be 23.2 m/s.

Calculate Your Speed with Jetpack on Frictionless Ice Rink

14 Mar 2023

Explanation:

Newton's Laws of Motion: The force applied by the jet pack accelerates your motion. Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

Calculating Acceleration: Using the formula a = f / m, where f is the force applied by the jet pack (334 N) and assuming a mass of 72 kg, we find that the acceleration is 4.64 m/s^2.

Calculating Speed: The equation for speed under constant acceleration is V(t) = V0 + a * t. Since you were standing still before turning on the jet pack (V0 = 0), after 5 seconds, your speed would be V(5) = 0 + 4.64 * 5 = 23.2 m/s.

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