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Please answer as Calculus and Integration 2. A falling object has acceleration 9.8 m/s?. a) What is the change in velocity in the first 4

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Please answer as Calculus and Integration

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2. A falling object has acceleration 9.8 m/s?. a) What is the change in velocity in the first 4 seconds? Now suppose the initial velocity was 0. b) what is the velocity at time t? c) How far did it fall in the first 3 seconds? d) How far did it fall in t seconds? [e*] if it hits the ground after 5 seconds, from what height was it dropped? 3. For a spring with k=50, how much work is required to stretch it from equilibrium by 0.4 meters? 4. For a spring with k=85 and equilibrium length 0.6 meters, how much work is required to stretch it from 0.9 meters to 1.4 meters? 5. For a force (in Newtons) F=- 1 at position x (in meters), how much work W (in Joules) is x+1 done to move an object from the 2 meter mark to the 6 meter mark

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