Grade 12 · Math · Calculus

12th grade Position, velocity, speed and acceleration worksheet

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Position, velocity, speed and acceleration

Grade 12 Math Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

1.
A toy cart is at s(t) = t³ − 9t² + 15t meters for t > 0. Ari finds when it is speeding up. Which is right?
- 1 < t < 3 or t > 5
- 1 < t < 5
- t > 3
- t > 5
2.
A robot is at s(t) = t³ − 9t² + 24t meters for t > 0. Bo finds when it is speeding up. Which is right?
- t > 3
- 2 < t < 4
- t > 4
- 2 < t < 3 or t > 4
3.
A toy train is at s(t) = t³ − 6t² + 9t meters for t > 0. Esme finds when it is speeding up. Which is right?
- 1 < t < 2 or t > 3
- t > 2
- 1 < t < 3
- t > 3
A sled on a track is at s(t) = t³ − 9t² + 15t meters. It stops twice. Kira finds its acceleration at the second stop. What is it, in m/s²?
A toy cart is at s(t) = t³ − 9t² + 24t meters. It stops twice. Luz finds its acceleration at the second stop. What is it, in m/s²?
A robot is at s(t) = t³ − 12t² + 21t meters. It stops twice. Milo finds its acceleration at the second stop. What is it, in m/s²?
A toy train is at s(t) = t³ − 15t² + 48t meters. It stops twice. Noah finds its acceleration at the second stop. What is it, in m/s²?
A toy train is at s(t) = 2t³ − 15t² + 24t meters. Pia finds its speed at t = 2. What is it, in m/s?
A sled on a track is at s(t) = 2t³ − 15t² + 20t meters. Ren finds its speed at t = 3. What is it, in m/s?
A toy cart is at s(t) = 2t³ − 15t² + 10t meters. Tala finds its speed at t = 1. What is it, in m/s?

Position, velocity, speed and acceleration. Every version has 10 questions, and the answer key prints on the second page.

Standard: none (beyond CCSS)

velocity v(t): s′(t): how fast and which way position changes.

acceleration a(t): v′(t): how fast velocity changes.

Gave the position instead of the velocity. Velocity is s′(t).

Gave the acceleration (the second derivative) where the question asked about velocity or speed.

Gave the velocity where the question asked for acceleration or speed.

What is the most common mistake with position, velocity, speed and acceleration?

Gave the position instead of the velocity. Velocity is s′(t).

Are these 12th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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