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AP Physics 1 : Kinematics – 1D Motion

Basics of 1D Motion
Distance and Displacement
5 Lessons
Definitions of distance and displacement
Graphical presentation of distance and displacement (x-t graph)
Concept Example 1: Translate motion to x-t graph
Concept Example 2: Translate motion to x-t graph
Practice – Solve problems involving distance and displacement
Speed and Velocity
Speed and Velocity
7 Lessons
What is average speed?
What is average velocity?
Example 1 : Average speed and velocity without change in direction
Example 2 : Average speed and velocity with change in direction
Example 3 : Average speed and velocity with change in direction and negative velocity
Few points about average speed and velocity
Practice – Find Speed and Velocity
Graphical presentation of speed and velocity
6 Lessons
Speed and velocity from position-time graph
Relation between position-time graph and linear algebra
Example – 4 scenarios of velocity from position-time graph
Example – Use of position time graph to get velocity information
Position-time graph for non uniform velocity
Practice – Analyze position-time graph
Acceleration
Understanding acceleration
3 Lessons
What is acceleration?
Sign of acceleration
Practice – Solve problems involving acceleration
Graphical understanding of acceleration ( V-T graph)
12 Lessons
Understanding VT graph ( Introduction)
VT Graph for constant velocity
VT Graph for uniform velocity
Acceleration for constant velocity
Acceleration for uniform velocity ( Sign of acceleration)
Example 1 – Analyze a VT graph
Example 2 – Analyze a VT graph
Displacement information from VT graph (Area of a VT graph)
Example – Displacement from VT graph
Fun lesson – Birth of Calculus from XT and VT graph
Practice – Concept builder questions
Practice – Solve problems involving VT and XT graphs
Equations of Kinematics with constant acceleration
Equations for 1D motion
1 Lesson
Intro to Kinematic Equations
Equation 1 – Relating v, a and t ( v= v0+at)
4 Lessons
Derivation of v= v0+at
Example 1 – How to use v= v0+at
Example 2 – Importance of sign of acceleration
Example 3 – One more problem
Equation 2 – Relating x, v and t (x = 1/2(v+v0)t )
3 Lessons
Derivation of x = 1/2(v+v0)t
Example 1 – How to use x = 1/2(v+v0)t
Example 2 – Multi step problem
Equation 3 – Relating x, v, a and t ( x = v0t + 1/2 at^2)
2 Lessons
Derivation of x = v0t + 1/2 at^2
Example 1 – How to use x = v0t + 1/2 at^2
Equation 4 – Relating v, a and x ( v^2 = v0^2 + 2ax)
3 Lessons
Derivation of v^2 = v0^2 + 2ax
Example 1 – How to use v^2 = v0^2 + 2ax
Example 2 – What do 2 answers mean?
Practice – Use kinematics equations to solve problems
2 Lessons
Question Set 1 – Solve problems involving 1D motion
Question Set 2 – Solve problems involving 1D motion
Freely Falling Bodies
Kinematics of Freely Falling Bodies
7 Lessons
What is a freely falling body?
Concept of Acceleration due to gravity
Kinematic equations for freely falling bodies
Concept Example 1 – A falling stone from a building
Concept Example 2 – A coin is tossed
Concept Example 3 – A ball is thrown up from a cliff
Practice – Solve problems involving freely falling bodies
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Question Set 2 – Solve problems involving 1D motion

AP Physics 1 : Kinematics – 1D Motion Practice – Use kinematics equations to solve problems Question Set 2 – Solve problems involving 1D motion

Questions :

A car is moving along a straight highway with a speed of 50 km/h. It uniformly increases its velocity with an acceleration of 5 km/h^2. What is the velocity of the car after 3 hours? 

A car is moving along a straight highway with a speed of 60 km/h. It uniformly increases its velocity with an acceleration of 8 km/h^2. How long does it take for the car to reach a velocity of 75 km/h?

A car is moving along a straight highway with an unknown velocity. It uniformly decreases its velocity with an acceleration of 5 km/h^2. If the velocity of the car is 50 km/h after 30 min, what was the starting velocity of the car?

A car moving along a straight highway with a speed of 126 km/h is brought to a stop within 180s. What is the acceleration ( or deceleration as the car as slowing down) of the car?
(assumed uniform)

You started driving from a stop sign. Your acceleration is 10 m/s^2. How long will your car take to reach a velocity of 45 km/hr (Assume uniform velocity)

You started driving from a stop sign. Your acceleration is 10 m/s^2. What is your velocity after 25 sec? After the first 25 sec, you sped up even more to an acceleration of 15 m/s^2. What will be your velocity after 60 sec from the start of the driving? ( assuming uniform velocity in the entire trip)

You started driving from a stop sign. Your acceleration is 8 m/s^2. What is your velocity after 25 sec? After the first 25 sec, you started to bring the car to a stop with an acceleration of 5 m/s^2. How long you were driving the car from the starting point? ( assuming uniform velocity in the entire trip)

Explanations :

A car is moving along a straight highway with a speed of 50 km/h. It uniformly increases its velocity with an acceleration of 5 km/h^2. What is the velocity of the car after 3 hours? 

Initial velocity, v0 = 50 km/h

Acceleration, a = 5 km/h^2

Time , t = 5 hrs

Final velocity v = ?

v = v0 + at

v = 50 + 5 x 5 = 75 km/h

A car is moving along a straight highway with a speed of 60 km/h. It uniformly increases its velocity with an acceleration of 8 km/h^2. How long does it take for the car to reach a velocity of 75 km/h?

Initial velocity, v0 = 60 km/h

Acceleration, a = 8 km/h^2

Time , t = ?

Final velocity v = 75 km/h

v = v0 + at

t = (v – v0)/a = ( 75 – 60)/8 = 1.875 h

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