Kinematics Review

Graphs

200

What does the area under an acceleration-time graph represent?

Change in velocity

400

What is the acceleration of the object at 6 seconds?

About 6.67ms^-1

600

Rank the objects in terms of their average speed from highest to lowest. 

A, B, D, C

800

What is the total distance traveled by the object?

24m

1000

What is the average acceleration of the object represented by this graph?

0ms^-2

Key Terminology

200

What is a scalar quantity? 

A value that is described only by its magnitude and has no direction.

400

What is a vector quantity?

A value that is described by its magnitude and direction.

600

What is acceleration?

The rate of change in the velocity of an object over an interval of time.

800

What is velocity?

The rate of change of displacement over an interval of time.

1000

What is displacement?

The change in position of an object over an interval of time, measured along a straight line.

Conceptual Ideas

200

What is the acceleration of an object moving at constant velocity?

0 m s^-2.

400

What is the vertical velocity (v_y) of an object when it reaches its maximum height?

0ms^-1

600

What is the difference between distance and displacement?

Distance is a scalar quantity while displacement is a vector quantity. Also displacement is the length from the original position while distance is the total length

800

A ball is thrown horizontally off of a cliff while a rock is dropped. Which object has a greater velocity and why?

The ball will have a greater velocity because it will have both a horizontal and vertical velocity while the rock will only have a vertical velocity.

1000

An object is launched vertically from the ground at an initial velocity v₀. What is its velocity the instant before it lands on the ground?

-v₀

Equations

200

If you are given total velocity and an angle, how would you calculate the horizontal velocity?

v_x=v₀cosθ

400

If you are given total velocity and an angle, how would you calculate the initial vertical velocity?

v_0y=v₀sinθ

600

Can kinematics equations be used with multiple dimensions at the same time? 

No, kinematics equations can only be applied to one dimension at a time.

800

A car is moving at 7ms^-1 and then starts to accelerate at a rate of 4ms^-2 over 5 seconds. How fast is the car going after 5 seconds?

27ms^-1

1000

A rock is thrown horizontally from the top of a cliff of height h at velocity v. Derive an equation for the horizontal distance traveled by the rock.

x=v√(2h/g)

Projectile Motion

200

A ball is dropped from a 100m high cliff. How fast will the ball be travelling the instant before hitting the ground?

44.7ms^-1

400

A ball is kicked with an initial velocity of 15ms^-1 at an angle of 45° to the horizontal. How long will the ball be in the air before it hits the ground?

About 2.12 seconds

600

A projectile is launched with an initial velocity of 20ms^-1 at an angle of 30° above the horizontal. Calculate the maximum height reached by the projectile.

5m

800

A ball is thrown horizontally from the top of a 45-meter high cliff with an initial speed of 10ms^-1. How far from the base of the cliff will the ball land?

30m

1000

Joe Biden is approximately 2 meters tall. Joe is playing baseball with his son Andrew. Joe throws the ball to Andrew, who is batting 20m away, and Andrew hits the ball with an exit velocity of 17ms^-1 at an angle of 30° at a height of 0.5m. How far above Joe’s head will the ball fly?

0.82m (g= -10ms^-2) or 1m (g= -9.81ms^-2)