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title: "A remote-controlled toy car of mass \\(m\\) travels along a flat horizontal surface with an initial speed \\(v\\), resulting in an initial kinetic energy \\(K_0\\). The car is then accelerated until its speed is \\(2v\\). What is the car’s new kinetic energy in terms of \\(K_0\\)?"
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url: "https://nerd-notes.com/ubq/109305/"
date_modified: "2026-03-21T23:23:34+00:00"
---

# A remote-controlled toy car of mass \(m\) travels along a flat horizontal surface with an initial speed \(v\), resulting in an initial kinetic energy \(K_0\). The car is then accelerated until its speed is \(2v\). What is the car’s new kinetic energy in terms of \(K_0\)?

A remote-controlled toy car of mass \(m\) travels along a flat horizontal surface with an initial speed \(v\), resulting in an initial kinetic energy \(K_0\). The car is then accelerated until its speed is \(2v\). What is the car's new kinetic energy in terms of \(K_0\)?

![Two identical toy cars are shown on a horizontal surface. The top car is labeled 'Initial State' and has a horizontal velocity vector arrow of length L labeled 'v'. The bottom car is labeled 'Final State' and has a horizontal velocity vector arrow of length 2L labeled '2v'.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1774135414-3YbOrB.jpg)

- **A.** \(\dfrac{1}{2}K_0\)
- **B.** \(2K_0\)
- **C.** \(4K_0\)
- **D.** \(8K_0\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/109305/*