Use the four kinematic equations to solve for distance, time, speed, and acceleration.
Kent Belate is driving down I-294 at 31.8 m/s. He accelerates at a uniform rate of 5.62 m/s/s over a distance of 55.1 m. How much time is required to cover this distance?
Time
s
A bicyclist begins her descent down a hill moving with a speed of 2.26 m/s. She moves with a constant acceleration and arrives at the bottom with a speed of 17.9 m/s. The hill is 47.1 m long. What is the acceleration of the bicyclist on the hill?
Acceleration
m/s/s
A military aircraft accelerates from rest for 3.75 seconds to take off of an aircraft carrier along a 76.4-m runway. Determine the take-off speed of the plane.
Speed
m/s
A Cessna 150 airplane has a takeoff speed of 27.8 m/s (62.3 mi/hr). Determine the minimum length (in m) of the runway which would be required for the plane to take off if it averages an acceleration of 1.80 m/s/s.
Minimum Length
m
Consider an airplane that starts from rest and accelerates at a constant 5.40 m/s/s for 14.6 s before lifting off.
How far did the airplane move during this time?
Distance
How fast was the airplane going when it took off?
The speed required of a military jet when taking off from the deck of an aircraft carrier is dependent upon the speed of the carrier and the speed of the wind into which the carrier is moving. The takeoff speed required of a military jet relative to the deck of the carrier is 43.5 m/s when the carrier travels at 45 mi/hr into a 20 mi/hr wind. And when the aircraft carrier is traveling at 10 mi/hr into a 5 mi/hr wind, the takeoff speed relative to the deck of the carrier is 69.8 m/s. Determine the acceleration which a military jet must have to take off under these two conditions from the 121-m long runway of the USS Ronald Reagan aircraft carrier.
Carrier travels at 45 mi/hr into a 20 mi/hr wind:
Carrier travels at 10 mi/hr into a 5 mi/hr wind:
A racing car moving at 55.2 m/s engages a parachute and braking system. It comes to rest 4.54 s later. Determine the value (magnitude) of the acceleration of the car. (No +/- signs.)