Introduction to Vectors
A vector is defined as a quantity that has these two things
What are magnitude and direction? (OH YEAH!!!)
The resultant magnitude of a man's displacement if he walks 3 m west and 4 m south
What is 5 m?
The initial vertical component of a football's velocity if it is kicked 10. m/s at 42o above the horizontal
What is 6.7 m/s?
The maximum height a projectile reaches after 1.1 s if it is launched at 25 m/s at 25o
What is 5.7 m?
The direction of the resultant displacement if a student walks 45 m east and then 20. m south
What is 24o south of east?
The resultant displacement of a student who walks 30. m east and 40. m south
What is 50 m at 53o south of east?
The magnitude of a man's final displacement if he walks 12 m north and 16 m west
What is 20 m?
The initial vertical velocity of a projectile that has been launched horizontally
What is zero?
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?
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 63o north of east?
The horizontal range of a projectile that is launched at 25 m/s at 25o and stays in the air for 2.2 s
What is 50. m?
The horizontal component of vector V, if V = 6 m at 50o above the horizontal
What is 4 m?
The initial horizontal component of a football's velocity if it is kicked at 10. m/s at 42o above the horizontal
What is 7.4 m/s?
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?
The magnitude of the resultant displacement if a student walks 45 m east and then 20. m south
What is 50 m?
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?
The vertical component of vector V, if V = 6 m at 50o above the horizontal
What is 5 m?
If we ignore air resistance, this happens to the horizontal velocity of a projectile
What is it remains constant?
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?
The time of flight of a projectile launched at 25 m/s at 25o
What is 2.2 s?
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?
The formula to calculate the vertical component of Vector R if it makes a 45o angle with the horizontal
What is R sin 45o?
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?
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?
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?