Practice Instantaneous Velocity And Speed (2.1)

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8 questions

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6 sample questions

Question 1.
What is the main difference between average velocity and instantaneous velocity?
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Think about the time intervals used in both calculations.
Question 2.
Define instantaneous speed.
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Recall that speed does not consider direction.
3Question 3.
What defines instantaneous velocity?
- Total displacement over time
- Limit of average velocity as time approaches zero
- Average speed over intervals
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It’s about focusing on a specific instant in time.
4Question 4.
True or False: Instantaneous speed can be negative.
- True
- False
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Speed doesn’t include direction.
Question 5.
An object moves with position given by x(t) = 4t^3 - 3t^2 + 2. Calculate its instantaneous velocity at t=2s.
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Remember to differentiate accurately for a cubic function.
Question 6.
A car has the following position function x(t) = 2t^2 + 3t + 1. What is its average velocity between t=1s and t=3s?
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Apply the average velocity formula carefully using the position function.

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