1D Kinematics
x= xi + Vit+(1/2at2)
Vf = Vi + at
Vf2= Vi2 + 2as
(there are more, these are main 3)
A car travels 3 miles East, and then South for 4 miles. What is the car's displacement vector?
5 miles Southeast
What is the acceleration from 10-12 seconds?
-2 m/s2
A projectile is shot at 15 m/s with a 45-degree angle to the ground. At its peak, what is the horizontal velocity of the projectile?
10.6 m/s
What's the difference between distance and displacement?
Distance is the total how much ground an object has covered during its motion.
Displacement is the change of position of an object (only relies on initial and final position)
An object is thrown vertically up in the air with an initial velocity of 3 m/s. At its peak, what is the acceleration and velocity of the object?
Acceleration: -9.8 m/s2
Velocity: 0 m/s
The density of Iron is 7.86g/cm3. Convert this to kg/m3.
7.86 x 103 kg/m3
Sketch the displacement-time, velocity-time, and acceleration-time graphs for an object moving with constant velocity
check graphs
A soccer ball, at rest on the ground, is kicked with an initial velocity of 10 m/s at a launch angle of 30°. Calculate its total flight time, assuming that air resistance is negligible.
1 s
A car company says that their new electric car can drive "from 0 to 60mph" in 9 s. This is a description of what?
Average acceleration
A speed boat travels 21 km at a constant speed. Assuming it traveled at 35m/s, how long was the speed boat traveling?
600 s
What is the answer with correct significant figures?
37.90/60
0.6
Sketch the displacement-time, velocity-time, and acceleration-time graphs for an object moving with constant acceleration.
check graphs
A cat is thrown horizontally with an initial velocity of 30 m/s from a bridge. Find the cat's total speed when it enters the water 4 seconds later, assuming that air resistance is negligible.
50 m/s
What is the area under the curve in a velocity-time graph?
Displacement
An apple is dropped off of a building and falls for 7 seconds before hitting the ground. What is the height of the building?
240.1 m
A projectile is shot with a velocity of 25m/s at a 37-degree angle to the ground. What are the x and y components of this vector?
x= 20 m/s
y= 15 m/s
What is the object’s displacement after 4 seconds?
160 m
A bullet is shot at 1050 m/s horizontally. If the shooter holds the tip of the barrel 1.5 m above the ground, how far horizontally will the bullet travel before striking the ground?
580.95 m
A person traveling towards the north changes the direction of the velocity towards the east. Predict approximately the direction of the acceleration.
towards south-east
A stone is thrown vertically upwards with a speed of 20.0 m/s. How fast is the stone moving when it reaches a height of 12 m?
+- 12.8 m/s
A person is shot out of a cannon on the ground with a horizontal velocity of 20.0 m/s and a vertical velocity of 40.0 m/s. At what angle was the person shot out?
63.4 degrees above the ground.
At what interval is the object speeding up in the negative direction?
How far can a long jumper leap on the moon if the player leaves the ground at 20 degrees and at a speed of 11.0 m/s? The acceleration due to gravity on the moon is 2.5 times less than on Earth
19.85 m
A car traveling at a speed of v0 applies its brakes, skidding to a stop over a distance of x m. Assuming that the deceleration due to the brakes is constant, what would be the skidding distance of the same car if it were traveling at twice the initial speed?
4x m