THE PRACTICE STUDIO
Go slowly. Ask why. Make it yours.
PRACTICE / Constant acceleration
Read the end of the velocity line
A cart begins at +2 m/s and accelerates at +3 m/s² for 4 s.
Find its final velocity.
Organize the givens & assumptions
- u = 2 m/s
- a = 3 m/s²
- t = 4 s
Straight-line motion with constant acceleration; signs refer to the chosen positive axis.
Study with a tutor prompt
Copy this into your AI assistant, then describe where you got stuck. It asks the tutor to coach you one step at a time. Check its reasoning against the lesson.
Opening this prompt marks this practice attempt as assisted.
Problem: Read the end of the velocity line
A cart begins at +2 m/s and accelerates at +3 m/s² for 4 s.
Question: Find its final velocity.
Givens:
- u = 2 m/s
- a = 3 m/s²
- t = 4 s
Assumptions: Straight-line motion with constant acceleration; signs refer to the chosen positive axis.
Choices (LaTeX):
A. 12\ \mathrm{m\,s^{-1}}
B. 6\ \mathrm{m\,s^{-1}}
C. 32\ \mathrm{m\,s^{-1}}
D. 14\ \mathrm{m\,s^{-1}}
Ask for my approach first. Help me distinguish a physical misconception from an algebra error without revealing which choice is correct.
Tutoring approach:
Act as a patient physics tutor. Ask what I understand and what I have tried, then wait for my reply. Teach one step at a time; do not give the final answer or a complete solution immediately. Start with a physical picture. Define unfamiliar symbols and operators, explain signs and units, and state the model's assumptions. Give progressively stronger hints only when I need them. Ask me to predict a change before calculating it. When I finish, help me check dimensions and a limiting case, then ask one related transfer question. If information is missing or ambiguous, ask rather than inventing it. Distinguish exact results from approximations and acknowledge uncertainty.Start with the smallest hint.
Work through it with me.
One decision at a time. Pause, predict, then unpack the algebra.
Connect an initial velocity with the velocity change produced by steady acceleration.
Choose a physical relation
Constant acceleration adds the same velocity increment each second.
Isolate what is asked
Acceleration adds 3 m/s of velocity each second to the initial 2 m/s.
Why is this step valid?
The velocity increment a·t = 3 × 4 = 12 m/s; add it to the initial +2 m/s, not to a position.
Substitute and interpret
The final velocity is +14 m/s; acceleration and initial velocity reinforce here.
The slope between the initial and final velocities equals the prescribed acceleration.
TRY THE IDEA AGAIN
Start instead at −2 m/s with the same acceleration and duration. What is final velocity?
YOUR LEARNING NOTE
How does this idea feel now?
Confidence is a reflection, not proof of mastery.
Loading… · 0 answer checks
Loading your learning note…