Questions from General Calculus


Q: A stone is dropped from the upper observation deck (the Space

A stone is dropped from the upper observation deck (the Space Deck) of the CN Tower, 450 m above the ground. (a) Find the distance of the stone above ground level at time t. (b) How long does it take...

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Q: Show that for motion in a straight line with constant acceleration a

Show that for motion in a straight line with constant acceleration a, initial velocity v0, and initial displacement s0, the displacement after time t is s = 1/2at2 + v0t + s0

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Q: Two balls are thrown upward from the edge of the cliff in

Two balls are thrown upward from the edge of the cliff in Example 7. The first is thrown with a speed of 48 ft/s and the other is thrown a second later with a speed of 24 ft/s. Do the balls ever pass...

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Q: A stone was dropped off a cliff and hit the ground with

A stone was dropped off a cliff and hit the ground with a speed of 120 ft/s. What is the height of the cliff?

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Q: A company estimates that the marginal cost (in dollars per item

A company estimates that the marginal cost (in dollars per item) of producing x items is 1.92 - 0.002x. If the cost of producing one item is $562, find the cost of producing 100 items.

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Q: Since raindrops grow as they fall, their surface area increases and

Since raindrops grow as they fall, their surface area increases and therefore the resistance to their falling increases. A raindrop has an initial downward velocity of 10 m/s and its downward accelera...

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Q: A car is traveling at 50 mi/h when the brakes

A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration of 22 ft/s2. What is the distance traveled before the car comes to a stop?

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Q: What constant acceleration is required to increase the speed of a car

What constant acceleration is required to increase the speed of a car from 30 mi/h to 50 mi/h in 5 seconds?

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Q: A car braked with a constant deceleration of 16 ft/s2

A car braked with a constant deceleration of 16 ft/s2, producing skid marks measuring 200 ft before coming to a stop. How fast was the car traveling when the brakes were first applied?

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Q: A car is traveling at 100 km/h when the driver

A car is traveling at 100 km/h when the driver sees an accident 80 m ahead and slams on the brakes. What constant deceleration is required to stop the car in time to avoid a pileup?

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