---
title: "A hockey puck of mass \\(m\\) glides across smooth ice and experiences a net horizontal force \\(F(t) = F_0 \\left(1 – \\dfrac{t^2}{T^2}\\right)\\) in the direction of its motion during the time interval \\(0 \\le t \\le T\\), where \\(F_0\\) and \\(T\\) are positive constants. What is the magnitude of the total impulse delivered to the puck during this time interval?"
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url: "https://nerd-notes.com/ubq/117540/"
date_modified: "2026-08-04T07:48:56+00:00"
---

# A hockey puck of mass \(m\) glides across smooth ice and experiences a net horizontal force \(F(t) = F_0 \left(1 – \dfrac{t^2}{T^2}\right)\) in the direction of its motion during the time interval \(0 \le t \le T\), where \(F_0\) and \(T\) are positive constants. What is the magnitude of the total impulse delivered to the puck during this time interval?

A hockey puck of mass \(m\) glides across smooth ice and experiences a net horizontal force \(F(t) = F_0 \left(1 - \dfrac{t^2}{T^2}\right)\) in the direction of its motion during the time interval \(0 \le t \le T\), where \(F_0\) and \(T\) are positive constants. What is the magnitude of the total impulse delivered to the puck during this time interval?

- **A.** \(\dfrac{1}{3} F_0 T\)
- **B.** \(\dfrac{1}{2} F_0 T\)
- **C.** \(\dfrac{2}{3} F_0 T\)
- **D.** \(F_0 T\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117540/*