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vector quantity

requires magnitude and direction (velocity and acceleration)

scalar quantity

requires magnitude only (mass/speed)

Vector

pictorial presentation of a vector quantity

length of arrow

shows magnitude

direction of arrow

shows direction

headwind

hurts you

tailwind

helps you

crosswind/ current

helps you (assume perpendicular)

parallelogram

4 sides opposite angles are parallel and congruent

√2 =

1.414

2 components are at right angles with the same magnituedes

use √2 rule

R=

√2 x side

side=

R/√2

projectile

any object that moves through the air or through space, acted on only by gravity

vertical component

responsible for hang time (gravity

horizontal component

only responsible for range (air resistance

horizontal and vertical

are independent of each other

Fig 3.9

falling at same rate both affected by gravity

resultant

shows magnitude and direction of projectile

resultant

vector sum of two or more component vectors

resolution

the process of resolving a vector into components

Fig 3.11

at peak v is 0 and h becomes resultant and never goes slower that that

fig 3.13

same speed at every attempt , different ranges

earth

curves away @ 5m

minimum speed km/s, 8000

8 km/s, 8000 m/s, 18000 mi/h (burn up)

with satellite have to go

over 150km above earth or it will burn up

how high

d=1/2gt(squared) (vertical)

how fast

sp= d/t (range)

how far

d=spxt (range)

how long

t=d/sp (range or t=√2d/g(vertical)