Initial Velocity
A kangaroo is capable of jumping to a height of 2.62 m. Determine the takeoff speed of the kangaroo.
7.17 m/s
Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.60 seconds, what will be his final velocity
25.5 m/s
A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.
8.1 m/s2
An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff
1720 m
A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s2. Determine the time for the feather to fall to the surface of the moon.
1.29s
How fast was an object moving at t = 0 s if it had a speed of 13 m/s at t = 10 and a constant acceleration of 2 m/s2?
-7 m/s
A car is moving at 30.0 km/h when it accelerates at 2.0 m/s for 3.6 s. What is the car's final speed?
15.53 m/s
A bike accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 m. Determine the acceleration of the bike.
0.712 m/s/s
A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.
a = 11.2 m/s/s
d = 79.8 m
The observation deck of the Empire State Building is 381 m above the street. Determine the time required for a penny to free fall from the deck to the street below.
8.81 s
A meteor falls from the sky to the Earth. The meteor already had an initial velocity downward when it was spotted. If it hit the Earth at 335 m/s after being seen for 30 seconds, then what was the initial velocity of the meteor?
40.7 m/s
A ball free falls from the top of the roof for 5 seconds. What is its final velocity at the end of 5 seconds?
-49.05 m/s
A rock is falling downwards at 12.0 m/s. After 2.0 seconds it is falling at downwards at 31.6 m/s. What was its acceleration?
-9.8 m/s/s
A plane at an airport has an average acceleration of 3.0m/s/s. The takeoff speed for this plane will be 65 m/s. How long does the runway have to be for the plane to take off?
704 m
A bowling ball is dropped on the Jupiter from a height of 3 meters. The acceleration of gravity on Jupiter is 24.5 m/s2 . How long does it take for the bowling ball to reach the surface of Jupiter?
0.49 s
An airplane starts at rest on a runway. It takes the airplane 50 seconds until it takes off. If the airplane had a constant acceleration and an average velocity of 60 m/s during the takeoff find the planes initial velocity
0 m/s
A pile driver drops from a height of 35 meters before landing on a piling. What is the speed of the driver when it hit the piling?
26.2 m/s
A student is gliding along on a scooter at a comfortable 2.8 m/s when Mr. Overweg walks around the corner and the two collide. If the student is brought to rest in 0.15 s, what is their acceleration?
18.67 m/s/s
A stone is dropped into a deep well and is heard to hit the water 3.41 s after being dropped. Determine the depth of the well.
-57 m
A roller coaster car is traveling at rest when it reaches a downward slope. On the slope, the car accelerates at a constant rate of 4.5 m/s2. The length of the slope is 45 meters. Find the time of travel.
4.47 s
Car seats are designed not to come loose below a 20 g collision. If a car crash takes 0.6 s how fast would a car need to be traveling for a seat to come loose
(hint 1g = 9.81m/s/s)
117.7 m/s
A roller coaster car is traveling at a constant 3 m/s when it reaches a downward slope. On the slope, the car accelerates at a constant rate of 4.5 m/s2. The length of the slope is 45 meters. a) Find the velocity of the car at the bottom of the hill.
20.35 m/s
A bullet leaves a rifle with a velocity of 452 m/s. While accelerating through the barrel of the rifle, the bullet moves a distance of 0.93 m. Determine the acceleration of the bullet.
109840.86 m/s/s
A car is rolling toward a cliff with an initial speed of 15 m/s. The maximum negative acceleration that the brakes can provide is -0.3 m/s2. If the cliff is 350 m from the initial position of the car, will the car go over the cliff?
Yes
Dx = 375m
Which would have the greatest effect on the displacement of an object that is accelerating uniformly in one-dimensional motion: doubling the initial velocity or doubling the time of the acceleration?
(hint look at the second equation)
Doubling time