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PRACTICEBeginner · Single correct

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.

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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.
A NUDGE, NOT A SPOILER

Start with the smallest hint.

YOUR PACE

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One decision at a time. Pause, predict, then unpack the algebra.

YOUR LEARNING NOTE

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