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Free response·Standard multi-step (3/5)·No calculatorNeeds mentor review

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

h(t)=64+48t−16t2h(t)=64+48t-16t^2
Total: 6 points

(a) Find the average velocity on [1,1.5][1,1.5]. (1 point)

(b) Find the average velocity on [1,1.1][1,1.1]. (1 point)

(c) Find the average velocity on [1,1+k][1,1+k] and use it to determine the instantaneous velocity at t=1t=1. (4 points)

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