Physics 3

Linear horizontal motion equation in terms of initial velocity only

linear horizontal motion equation in terms of final velocity and time

linear horizontal motion equation in terms of final velocity and change in x (position)

linear horizontal motion equation to solve for change in x (position)

If speed increases

if speed decreases

Horizontal component of velocity in projectile motion

Vo cos(theta) and is constant

Vertical component of velocity in projectile motion

Vo sin(theta), and is changing

Velocity of y component (Voy) at ymax in projectile motion

0

Acceleration of y-component in projectile motion

= -g = -9.81m/s²

ymax equation in projectile motion

Range equation in projectile motion

Total time (T) in projectile motion

degree where max ymax in projectile motion

90 degrees

degree where there is maximum range in projectile motion

45 degrees

degree where there is maximum area in projectile motion

60

degree where there is maximum arc length in projectile motion

56.6 degrees

Ignoring air resistance, mechanical energy (KE+PE) of the projectile is always

constant

@ an angle that has corresponding R, the only other angle that will produce same R is its ___

complementary

Uniform Circular motion

motion at constant speed

Centripetal acceleration can be computed using

Centripetal acceleration

• changes the direction of velocity

• points toward the center of the circle

• when object is turning

Tangential acceleration is given by

total acceleration in uniform circular motion is just equivalent to

centripetal acceleration

Centripetal force is given by the formula

@ constant speed, acceleration is directed

radially inward

1 rev = ___ rad (note: rad is dimensionless, equivalent to measure of arc length(m) over radius(m) so m/m =1)

2pi

linear displacement given angular displacement (rad)

linear velocity given angular velocity (rad/s)

linear acceleration given the angular acceleration, rad/s²

Non-uniform circular motion given the initial angular velocity only with change in angular displacement

Non-uniform circular motion given the initial angular velocity with time

Non-uniform circular motion given the initial angular velocity with change in angular displacement