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Where do they meet?

This text provides scenarios of trains passing, gift dropping from bridge, and police car catching up to a motorcycle, with explanations and step-by-step solutions. It also includes two performance assessments involving vehicles meeting and catching objects.

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Where do they meet?

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  1. Where do they meet?

  2. Where do they “meet”? • Train #1 leaves station A and accelerates east at 0.5 m/s/s. At the same instant #1 leaves station A, train #2 leaves station B, which is 1.0 km east of A, and accelerates west at 0.25m/s/s. Relative to station A, where would the two trains pass? Assume they were on parallel tracks.

  3. When to drop? • In a romance movie, the female lead rides a boat that travels 5.0m/s down a canal in Paris. Her gentleman courter stands on a bridge that is 10.0m above the deck of the boat. He wishes to give her a small wrapped gift. Where should the boat be when he drops the gift?

  4. Where’s the catch? • A motorcycle traveling at a constant 20 m/s passes a police car that is hidden behind some bushes. At the instant the motorcycle passes the police car, it (cop car) accelerates at 3.0m/s/s attempting to catch up to the motorcycle. How far must the police car travel before it catches up to the motorcycle?

  5. How to solve them… • To meet, objects must have the same ending position and time. • Instead of focusing on displacement, use starting and ending position. • xf- xo = vot + 1/2at2

  6. JEEP VS Cart • Objective: Determine where two vehicles started 1.50 m apart will collide.

  7. Jeep VS Cart on Incline • Objective: Determine where two vehicles started 1.50 m apart will collide. The cart will roll down the hill, the jeep will drive up the hill. • You must determine the magnitude of the jeep’s velocity, and the cart’s acceleration. Then, starting facing each other, but 1.50 m apart, calculate where they will meet if they are released simultaneously. Assume the jeep’s velocity is constant, and that it does NOT start at zero, but the cart’s velocity does start at zero. • Write-up is in the form of a word problem. You write the problem, and show the solution. A simple picture IS required

  8. Performance Assessment “The Stuntman’s Drop” • Objective: Catch a falling ball in a moving car. • Write-up is in the form of a word problem. You write the problem, and show the solution. A simple picture IS required • Option: If you have the need to exercise your tech skills, you may seek approval for an alternate report, like a Khan Academy style video that shows how to do this, including solving the problem.

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