Definitions
Definitions & Problems
Vectors
Kinematic Equations
(Free Fall & Horizontal Motion)
(Free Fall & Horizontal Motion)
Projectile Motion
100
What do you call the study of the motion of points, objects, and groups of objects without considering the causes of its motion?
Kinematics
100
The term used to describe the motion of a falling object that experiences only the force of gravity is called _____.
Free Fall
100
What is the negative of vector A= 17m, 35° north of west?
-A= 17m, 35° south of east?
100
A cyclist starts accelerating in a race at 15 m/s2 for 20s. Determine the speed the cyclist is going. Identify all the variables.
a=15m/s2 t=20s vi=0m/s vf=?
vf =300 m/s
100
Define a projectile.
It is an object launched into the air with an initial velocity.
200
It is a vector quantity that refers to the overall change in objects position.
Displacement
200
A man walks 50m north and then turns around and walks 30m south. What is his displacement?
20m, north
200
Express vector A=(6i, 7j, 13k) in terms of unit vector.
A= 6i + 7j + 13k
200
A car accelerates uniformly from 30m/s to 50m/s in 15s. Determine the distance the car traveled. What equation will be used to solve this problem?
x=1/2(vi+vf)t
200
The path followed by a projectile as it moves through space is known as ______.
Trajectory
300
What vector quantity refers to the rate of change of position?
Velocity
300
A car accelerates from 40m/s to 50m/s in 5 seconds. What is his acceleration?
2 m/s2
300
Differentiate dot product and cross product in terms of quantity.
The dot product results in a scalar quantity, while the cross product yields a vector quantity.
300
Clyde walks 3m to the east for 3s, 5m going to the west for 5s, then 10m going to the east 10s. What is Clyde's average velocity?
Vave= 0.44m/s
300
A ball is kicked from the ground at an angle of 45° with the horizontal, and it has an initial speed of 20 m/s. Determine:
- The time it takes for the ball to reach its maximum height.
- The maximum height reached by the ball.
1. t= 1.44s
2. H= 10.1m
400
It is a dimensionless vector with a magnitude of 1.
Unit vector
400
The acceleration due to gravity is equal to______.
9.8m/s2
400
Cross Product of Two Vectors
Let A = 3i + 7j + 5k
B = 4i +8j + 11k
Find: A X B (use determinant method)
A X B= 37i-13j-4k
400
A ball is dropped from a height of 1.5 meters. Determine the time for a ball to fall to the floor.
t=0.55m/s
400
A ball is kicked from the ground at an angle of 45° with the horizontal, and it has an initial speed of 20 m/s. Determine:
- The total time the ball is in the air.
- The horizontal range of the ball.
1. t= 2.88s
2. R= 40.7m
500
What term refers to a vector quantity that pertains to the rate of change of velocity?
Acceleration
500
____is the term used to refer to the location of a particle from a reference point.
Position
500
Dot Product of Two Vectors
Let A= 3i - 4j +5k
B= 4i-2j+3k
Find: A•B
Solution:
A•B = (3)(4)i•i + (-2)(-4)j•j +(5)(3)k•k
= 35
500
A man accelerates at 1.6 m/s2 for 24 s. Determine the speed the jogger is going.
v=38.4 m/s
500
A soccer ball is kicked with an initial velocity of 10 m/s at an angle of 45 degrees with the horizontal. What is the horizontal component of the initial velocity of the ball?
vcosθ= 7.07 m/s