53 A car is at rest at a stoplight. The moment the light turns green a truck rolls up the line with a CONSTANT velocity of 11.6 m/s. At the instant the truck is next to the car; the car begins to accelerate as shown.
54 In the Savannahs of Africa a gazelle is running in a straight line with a constant velocity is 16.25 m/s. The gazelle startles a cheetah when she runs past. At the instant the cheetah and gazelle are side by side the cheetah accelerates after the gazelle from rest at 12.00 m/s2.
a. How much time does it take for the cheetah to catch up to the gazelle?
55 Tom, the cat, is chasing Jerry, the mouse. Jerry runs past Tom at 10.00 m/s. At the instant Jerry passes Tom, Tom starts from rest and accelerates at 3.00 m/s2.
56 A Helicopter is hovering when a jet flies past it as shown. The instant the jet flies past the helicopter, it fires a rocket with the acceleration shown.
a. The pilot of the jet will wait until the last possible moment to roll the jet from the incoming rocket. How much time does it take for the rocket to catch up to the jet?
57. A pedestrian is running at his maximum speed of 6.0 m/s to catch a bus stopped at a traffic light. When he is 15 m from the bus, the light changes and the bus accelerates uniformly at 1.00 m/s2. Does he make it to the bus? If so, how far does he have to run in order to catch it? If not, how close does he get?
58 A car starts from rest and accelerates at 0.500 g’s from 50.0 m. the car then travels for 8.52 seconds at a constant velocity. It then slows down for 3.12 seconds with an acceleration of –2.50 m/s2.
a. What is the final velocity of the car?
59 A top fuel dragster accelerates from a rest with an acceleration of 5.10 g’s. Once the dragster reaches its top velocity of 145 m/s, it travels at a constant velocity for the rest of the 1/4 miles track. How much time did it take for the dragster to travel the length of the track?
60 A bus picks up a passenger and accelerates from a rest at 1.50 m/s2 for 6.00 seconds. After the initial 6.0 seconds the bus accelerates at 2.50 m/s2 for an additional 35.5 m. The bus then slams on the brake and accelerates at - 0.75 g’s until it comes to a rest.
a. What is the total time for the bus ride?
61. Suppose that while traveling at 12.0 m/s, a driver sees a traffic light turn red. After 0.510 s has elapsed (their reaction time), the driver applies the brakes and the car slows at -6.20 m/s2. What is the stopping distance of the car, as measured from the point where the driver first notices the red light?
62. 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 350 m after the parachute opens
by Tony Wayne ...(If you are a teacher, please feel free to use these resources in your teaching.)