Linear Motion Problems A motorboat is traveling due

Linear Motion Problems

• A motorboat is traveling due north in calm water at a speed of 7. 0 m/s. The operator puts the motor in reverse and the boat receives an acceleration of -1. 4 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. 5 m/s hits a wall and stops in 0. 0225 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 uniformly from rest at a rate of 40. 0 m·s-2 until it reaches a velocity of 1830. m·s-1. • How much time does this take? • How far has the rocket traveled in this time?

• A jet aircraft being launched from an aircraft carrier is accelerated from rest along a 94. 0 m track for 2. 50 s. What is the launch speed of the plane?

• A car accelerates at 2. 55 m·s-2 East for 16. 2 s. After this time the car is moving at 10. 0 m/s West. Calculate its initial velocity.

• From the moment a 40. 0 m/s fastball touches the catcher’s mitt until it is completely stopped takes 0. 00525 s. • Calculate the average acceleration of the ball as it is being caught. • How far has the mitt moved in this time? (assume the mitt moves with the ball as it comes to a stop). • A catcher typically moves his/her hand backwards when catching it in order to increase the time it takes to come to a stop. How far would the mitt need to move in order to reduce the acceleration by a factor of 3?

• 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 87. 5 m/s lands on a runway and comes to a stop 11. 2 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. 5 m/s accelerates at a constant rate of 4. 15 m/s 2 over a distance of 50. 0 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).