Free video solution

Kinematics with Calculus: Velocity, Acceleration, and Distance

Name: Kinematics with Calculus: Velocity, Acceleration, and Distance
Uploaded: 2026-07-18T13:04:07.028Z
Description: A particle moves along a straight line with velocity $v = (12 - 3t^2)$ m/s. At $t = 1$ s, the position is $x = -10$ m (10 m to the left of the origin). Find: 1. The acceleration at $t = 4$ s 2. The displacement from $t = 0$ to $t = 10$ s 3. The total distance traveled from $t = 0$ to $t = 10$ s

Calculus · Calculus — University

Course: Calculus Book: Calculus — University

Question

A particle moves along a straight line with velocity $v = (12 - 3t^2)$ m/s. At $t = 1$ s, the position is $x = -10$ m (10 m to the left of the origin). Find: 1. The acceleration at $t = 4$ s 2. The displacement from $t = 0$ to $t = 10$ s 3. The total distance traveled from $t = 0$ to $t = 10$ s

Step-by-step video solution

This DoAssignment.ca lesson explains the problem with a narrated, step-by-step solution for students studying Calculus from Calculus — University.

Watch video solution

More Calculus solutions · Browse all video solutions · Get AI homework help or book an online tutor

Kinematics with Calculus: Velocity, Acceleration, and Distance

Question

Step-by-step video solution

Related video solutions