Question

A particle moves along the x-axis with an acceleration of $a(t) = 12t - 4$. The particle's velocity is 18 centimeters per second at $t = 2$. The initial position of the particle is 8 cm. What is the position of the particle at $t = 3$?

Name: A particle moves along the x-axis with an acceleration of a(t) = 12t - 4. The particle's velocity is 18 centimeters per second at t = 2. The initial position of the particle is 8 cm. What is the position of the particle at t = 3?
Uploaded: 2022-06-02T14:26:30-08:00
Duration: 3 min 29 s
Channel: Shaiju T
Description: A particle moves along the x-axis with an acceleration of a(t) = 12t - 4. The particle's velocity is 18 centimeters per second at t = 2. The initial position of the particle is 8 cm. What is the position of the particle at t = 3?

          A particle moves along the x-axis with an acceleration of $a(t) = 12t - 4$. The particle's velocity is 18 centimeters per second at $t = 2$. The initial position of the particle is 8 cm. What is the position of the particle at $t = 3$?

A particle moves along the x-axis with an acceleration of a(t) = 12t - 4. The particle's velocity is 18 centimeters per second at t = 2. The initial position of the particle is 8 cm. What is the position of the particle at t = 3?

Added by Samuel M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Shaiju T

06/02/2022

Step 1

- Acceleration function: a(t) = 12t - 4 - Velocity at t = 2: v(2) = 18 cm/s - Initial position: x(0) = 8 cm - Need to find: position at t = 3, which is x(3) Show more…

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A particle moves along the x-axis with an acceleration of a(t)=12t-4. The particle's velocity is 18 centimeters per second at t=2. The initial position of the particle is 8cm. What is the position of the particle at t=3 ? A particle moves along the x-axis with an acceleration of a(t= 12t -4. The particle's velocity is 18 centimeters per second at t = 2. The initial position of the particle is 8 cm. What is the position of the particle at t = 3 ?