MOTION PROBLEMS A motorboat is traveling due north

MOTION PROBLEMS

� A motorboat is traveling due north in calm water at a speed of 6. 0 m/s. The operator puts the motor in reverse and the boat receives an acceleration of 1. 5 m/s 2. �How long after the boat is put into reverse does it momentarily come to a stop? �How far has the boat traveled while it decelerated to a stop?

� A car moving at 32. 0 m/s hits a wall and stops in 0. 020 s. Calculate the acceleration stopping the car.

� The driver of a pick-up truck going 100. km/h applies the brakes, giving the truck a uniform deceleration of 6. 50 m/s 2 while it travels 20. 0 m. �What is the velocity of the truck in m/s at the end of this distance? �How much time does it take the driver to come to a stop?

�A rocket accelerates from rest at a rate of 40. 0 m/s 2 until it reaches a velocity of 1800. m/s. How much time does this take?

�A jet aircraft being launched from an aircraft carrier is accelerated from rest along a 94 m track for 2. 5 s. What is the launch speed of the plane?

�A car accelerates at 2. 5 m·s-2 E for 16 s. After this time the car is moving at 10. 0 m/s W. Calculate its initial velocity.

� An Olympic biathlete shoots a bullet at a target 50. 0 m away. If the average velocity of the bullet is 323 m·s-1 How much time does it take for the bullet to reach the target?

� From the moment a 40. 0 m/s fastball touches the catcher’s mitt until it is completely stopped takes 0. 0125 s. Calculate the average acceleration of the ball as it is being caught.

• Top-fuel drag racers are able to uniformly accelerate at 12. 5 m/s 2 from rest to 100. m/s before crossing the finish line. How much time elapses during that acceleration? • How far has the drag racer traveled down the track in that time?

� An Alaska Airlines jet traveling at 88. 0 m/s lands on a runway and comes to a stop 11. 0 seconds later before taxiing to the gate. �What is the acceleration of the jet as it lands? �How long does the runway need to be for this jet to land?

�A motorcycle traveling at 16 m/s accelerates at a constant rate of 4. 0 m/s 2 over a distance of 50. m. What is its final velocity?

� � Police find skid marks 60. m long on a highway showing where a car made an emergency stop. Assuming that the acceleration was 10. m/s 2 (about the maximum for dry pavement), how fast was the car going when it began to skid? Was the car exceeding the 80 km/h speed limit? (show your work to justify your answer).