Scalars
& Vectors
& Vectors
Acceleration is a good example of this measurement because it has direction
What is a vector measurement?
Velocity v(t) is related to position x(t) in this way
What is a derivative?
On the graph, this value is the velocity at t=5s.
What is 6 m/s?
You are going home after eating your sisters food. Your angry sister chases you. You are going at 65 miles per hour, your sister is going at 67 miles per hour, this value is the relative velocity of your sister.
What is 2 miles per hour?
This is the numerical value of a projectile's acceleration in the horizontal direction at the peak of its flight, when air resistance is negligible.
What is 0 m/s2?
A plane flies 800 miles west and then 800 miles east. This value equals zero.
What is displacement?
The position of a particle is expressed as 6t2+6t. This is the value of the instantaneous acceleration at t=2s.
What is 12 m/s2?
On the graph, this value is the total distance traveled between 0s and 5s.
What is 15 meters?
Car 1 moves South at a constant speed. Car 2 moves East at the same speed. This is the direction of the velocity of Car 2 as observed by a passenger in Car 1.
What is Northeast?
This describes the relationship between horizontal acceleration and vertical velocity.
What is there is no relationship? (different vectors)
Two perpendicular vectors have velocities of 5 m/s and 12 m/s. This is the magnitude of their resultant.
The velocity of a particle is given by v(t)=3t2-8t. This is the value of the total displacement of the particle from t=0 to t=5s.
What is 25 meters?
On the graph, the acceleration is changing in this way at t=6s.
It is decreasing.
A boat travels directly East across a South-flowing river at a constant speed of 5 m/s. The river is flowing South at constant speed 3 m/s. This value is the magnitude of the boat's true speed relative to the riverbank.
What is 5.831 m/s?
An object moves at 10 m/s at an angle of 60 degrees above the horizontal. This is the initial horizontal component of the velocity.
What is 5 m/s?
A force vector of magnitude 8 N acts at an angle of 30 degrees above the horizontal. This is the vertical component of the force.
What is 4 N?
An object moving in a straight line where acceleration is the function a(v)=-kv, this calculus technique is required to find v(t) by writing dv/dt=-kv.
What is separation of variables?
On the graph, this value is the total distance traveled from t=16s to t=20s.
What is 1 meter?
Chad left at 2 am to go to the airport at a constant speed of 90 m/s. Chad's mom is also going to airport but left at 4 am at a constant speed of 120 m/s. This value is the time the 2 cars meet. (t=0 at 4 am)
What is 10 am (6 hours after Mom's departure)?
A ball is thrown out of a 10 meter tall building at an initial speed of 5 m/s at the 0 degree angle. This value is the total distance traveled in the x direction. (g=10 m/s2)
What is 7.07 meters?
A particle moves in a circle at constant speed. Its velocity changes because of this property.
What is direction?
If an object of mass m falls through a fluid and experiences a linear drag force of F=-bv, this is the mathematical expression for its terminal velocity.
What is v(t)=mg/b ?
On the graph from 0s to 24s, these two points are where the acceleration of the motion is equal to zero.
What is t=7s and t=14s?
Car A is going at a speed of 50 m/s at an unknown angle north of east while car B is going at speed of 30 m/s south of east at 30 degrees. The relative velocity from car B looking at Car A is 70 m/s. This value is the degree (angle) at which Car A is traveling.
What is 90 degrees (North of East) ?
Assuming there is no air resistance, this is the launch angle that will yield the maximum horizontal range in projectile motion?
What is 45 degrees?