A drag racer starts from rest and accelerates at 8.0 m/s2 for the entire distance of 400 m (1/4 mile). What is the speed of the race car at the end of the run?
a. 32 m/s
c. 64 m/s
b. 40 m/s
d. 80 m/s
[Ques. 2] An automobile driver puts on the brakes and decelerates from 30.0 m/s to zero in 12.0 s. What distance does the car travel?
a. 150 m
c. 360 m
b. 180 m
d. 750 m
[Ques. 3] Norma releases a bowling ball from rest; it rolls down a ramp with constant acceleration. After half a second it has traveled 0.40 m. How far has it traveled after two seconds?
a. 3.2 m
c. 9.0 m
b. 6.4 m
d. 16 m
[Ques. 4] A European sports car dealer claims that his product will accelerate at a constant rate from rest to a speed of 100 km/hr in 9.00 s. What distance will the sports car travel during the 9.00 s acceleration period? (Hint: First convert speed to m/s.)
a. 55.5 m
c. 111 m
b. 125 m
d. 250 m
[Ques. 5] When a drag strip vehicle reaches a velocity of 60 m/s, it begins a negative acceleration by releasing a drag chute and applying its brakes. While reducing its velocity back to zero, its acceleration along a straight line path is a constant -6.0 m/s2 . What displacement does it undergo during this deceleration period?
a. 120 m
c. 320 m
b. 300 m
d. 240 m
[Ques. 6] A vehicle designed to operate on a drag strip accelerates from zero to 30 m/s while undergoing a straight line path displacement of 60 m. What is the vehicle's acceleration if its value may be assumed to be constant?
a. 2.0 m/s2
c. 10 m/s2
b. 7.5 m/s2
d. 15 m/s2
[Ques. 7] A cart is given an initial velocity of 5.0 m/s and experiences a constant acceleration of 4.0 m/s2 . What is the magnitude of the cart's displacement during the first 6.0 s of its motion?
a. 10 m
c. 66 m
b. 55 m
d. 102 m
[Ques. 8] A cheetah can maintain its maximum speed of 100 km/hr for 35.0 seconds. What minimum distance must a gazelle running 80.0 km/hr be ahead of the cheetah to escape?
a. 194 m
c. 70.0 m
b. 167 m
d. 125 m
[Ques. 9] A cheetah can run at approximately 100 km/hr and a gazelle at 80.0 km/hr. If both animals are running at full speed, with the gazelle 60.0 m ahead, how long before the cheetah catches its prey?
a. 6.30 s
c. 5.40 s
b. 21.6 s
d. 10.8 s
[Ques. 10] A ball rolls down an incline, starting from rest. If the total time it takes to reach the end of the incline is T, how much time has elapsed when it is halfway down the incline?
a. 0.5T
c. > 0.5T
b. < 0.5T
d. More information is needed.