Two-Dimensional Motion and Vectors

Introduction to Vectors

100

A vector is defined as a quantity that has these two things

What are magnitude and direction? (OH YEAH!!!)

200

The resultant displacement of a student who walks 30. m east and 40. m south

What is 50 m at 53^o south of east?

300

The horizontal range of a projectile that is launched at 25 m/s at 25^o and stays in the air for 2.2 s

What is 50. m?

400

The speed relative to the shore of a boat that is traveling 3 m/s relative to the water across a river and the current is 4 m/s downstream

What is 5 m/s?

500

The horizontal distance a rock travels if it is thrown horizontally at 24 m/s from a 60 m cliff and takes 3.5 s to hit the ground

What is 84 m?

Vector Operations

100

The resultant magnitude of a man's displacement if he walks 3 m west and 4 m south

What is 5 m?

200

The magnitude of a  man's final displacement if he walks 12 m north and 16 m west

What is 20 m?

300

The horizontal component of vector V, if V = 6 m at 50^o above the horizontal

What is 4 m?

400

The vertical component of vector V, if V = 6 m at 50^o above the horizontal

What is 5 m?

500

The formula to calculate the vertical component of Vector R if it makes a 45^o angle with the horizontal

What is R sin 45^o?

Projectile Motion

100

The initial vertical component of a football's velocity if it is kicked 10. m/s at 42^o above the horizontal

What is 6.7 m/s?

200

The initial vertical velocity of a projectile that has been launched horizontally

What is zero?

300

The initial horizontal component of a football's velocity if it is kicked at 10. m/s at 42^o above the horizontal

What is 7.4 m/s?

400

If we ignore air resistance, this happens to the horizontal velocity of a projectile

What is it remains constant?

500

The distance a projectile travels horizontally if it takes 3 seconds to hit the ground and it is launched horizontally at 20 m/s

What is 60 m?

Relative Motion

100

The maximum height a projectile reaches after 1.1 s if it is launched at 25 m/s at 25^o

What is 5.7 m?

200

The total speed of a plane relative to the ground if it is flying north at 200. km/h and the wind is blowing west at 50. km/h

What is 210 km/h?

300

The magnitude of the resultant velocity of a boat if it moves 5.0 m/s north relative to the water and the river flows 3.0 m/s east

What is 5.8 m/s?

400

The time a rock spends in the air if it is thrown from a 60 m cliff at 24 m/s

What is 3.5 s?

500

A boat's speed relative to the ground if a river flows north at 6 m/s and the boat heads west at 8 m/s relative to the water

What is 10 m/s?

2D Motion Just Seems to Fall a Little Flat

100

The direction of the resultant displacement if a student walks 45 m east and then 20. m south

What is 24^o south of east?

200

The direction of a vector if it has a horizontal component of 7.0 m east and a vertical component of 14 m north

What is 63^o north of east?

300

The magnitude of the resultant displacement if a student walks 45 m east and then 20. m south

What is 50 m?

400

The time of flight of a projectile launched at 25 m/s at 25^o

What is 2.2 s?

500

The magnitude of a vector that has a horizontal component of 7.0 m and a vertical component of 14 m

What is 16 m?