Kinematics with Calculus: Velocity, Acceleration, and Distance

Calculus · 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.

Browse more video solutions · Get AI homework help or book an online tutor

Related video solutions

• Equilibrium of a Rod with Collar, Floor Support, and Cable
  Calculus · Calculus
• Graphing Position, Velocity, and Acceleration for Sinusoidal Motion
  Calculus · Calculus — University
• Constructing v–t and a–t Graphs from a Velocity Function
  Calculus · Calculus — University
• Escape Velocity via Separation of Variables
  Calculus · Calculus — University
• Kinematics with Variable Acceleration: Finding Distance Traveled
  Calculus · Calculus — University
• Integration of Motion Equations: Position, Distance, and Velocity
  Calculus · Calculus — University
• Particle Velocity from a Position-Dependent Acceleration
  Calculus · Calculus — University
• Kinematics with Exponential Velocity: Distance and Acceleration
  Calculus · Calculus — University