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Kinematics with Calculus: Velocity, Acceleration, and Distance

Name: Kinematics with Calculus: Velocity, Acceleration, and Distance
Uploaded: 2026-07-18T12:01:52.183Z
Duration: 4 min 8 s
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

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Problem and lesson overview

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

t = 10

s 3. The total distance traveled from

t = 0

t = 10

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Kinematics with Calculus: Velocity, Acceleration, and Distance

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