2.1 - Instantaneous velocity and speed
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Practice Questions
Test your understanding with targeted questions
What is the main difference between average velocity and instantaneous velocity?
💡 Hint: Think about the time intervals used in both calculations.
Define instantaneous speed.
💡 Hint: Recall that speed does not consider direction.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines instantaneous velocity?
💡 Hint: It’s about focusing on a specific instant in time.
True or False: Instantaneous speed can be negative.
💡 Hint: Speed doesn’t include direction.
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Challenge Problems
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An object moves with position given by x(t) = 4t^3 - 3t^2 + 2. Calculate its instantaneous velocity at t=2s.
💡 Hint: Remember to differentiate accurately for a cubic function.
A car has the following position function x(t) = 2t^2 + 3t + 1. What is its average velocity between t=1s and t=3s?
💡 Hint: Apply the average velocity formula carefully using the position function.
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