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Kinematics Challenge Problems

A jetliner traveling northward is landing with a speed of 69 m/s. Once the jet touches down it has 750 m of runway in which to reduce its speed to 6.1 m/s. Compute the average acceleration of the plane during landing.

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Kinematics Challenge Problems

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  1. A jetliner traveling northward is landing with a speed of 69 m/s. Once the jet touches down it has 750 m of runway in which to reduce its speed to 6.1 m/s. Compute the average acceleration of the plane during landing.

  2. A car with a velocity of 27 m/s slows down at a rate of -8.5 m/s2 to a stop in a distance of 43 m on a dry road. The same car traveling at 27 m/s slows down at a rate of -6.5 m/s2 on a wet road.a. How much farther does the car travel on the wet road before coming to a stop?b. What maximum car speed will allow the car traveling on the wet road to stop in a distance of 43 m?

  3. A drag racer starting from rest speeds up for 402 m with an acceleration of 17.0 m/s2. A parachute then opens, slowing the car down with an acceleration of - 6.10 m/s2. How fast is the racer moving 3.50 x 102 m after the parachute opens?

  4. A car is traveling at a constant speed of 27 m/s on a highway. At the instant this car passes an entrance ramp, a second car enters the highway from the ramp. The second car starts from rest and has a constant acceleration. What acceleration must it maintain so that the two cars meet for the first time at the next exit, which is 1.8 km away?

  5. A speed trap is set up with two pressure-activated strips placed across a highway 110 m apart. A car is speeding along at 33 m/s while the speed limit is 21 m/s. At the instant the car activates the first strip the driver begins slowing down. What minimum acceleration is needed in order that the ending speed is within the limit by the time the car crosses the second marker?

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