Regents Physics Formulas

Formula with no angle: vertical velocity and the vertical distance.

Vfy² = 2g • dy

What is the initial vertical velocity when no angle is given?

v0y = 0 m/s

How can you find vertical distance given only time?

dy = ½ g • t²

What is formula for acceleration given the velocity and time?

a = vf - v0 / tf - t0

In a free fall equation why is the initial velocity zero?

Because it is stationary before it drops/starts moving

What is V final of the horizontal component when you have V initial, and no angle is given?

Vf = Vo

What is the horizontal distance?

dx = Vox • t

With & without angle given what is the acceleration horizontally?

ax = 0 m/s

What is the vertical acceleration when no angle is given?

ay = 9.81 m/s

How can you find total time?

t total = 2 • t up

How can you find t up?

t up = Voy / g

Given the height, how can you find time?

t = sqrt ((2 • h) / g)

Given the angle and initial velocity, what is the horizontal velocity?

Vox = Vo • cos(°)

Given the angle, what is acceleration in the vertical component?

ay = 9.81 m/s

Given the angle and initial velocity, what is the vertical component velocity?

Voy = Vo • sin(°)

What is the second method to find dy (dymax)?

dy max = Voy • t up - ½ g • t up²

How can you find final vertical velocity given initial vertical velocity and t up?

Vfy = Voy - g • t up = 0

Third method of finding dy (dymax), only given initial velocity and angle?

dy max = (Vo² • sin (°)²) / 2 • g

How can you find distance given velocity and time?

d = v • t

How can you get final vertical velocity given the time?

Vfy = g • t

How can you get final vertical velocity given the distance?

Vfy² = 2 • g • d

What is the best angle for maximum horizontal distance?

dx max is when (°) = 45°

What happens to the velocity and distance of the horizontal component when the angle increases?

dx and Vox decrease

What happens to the velocity of the vertical component when the angle increases?

Voy increases

When is the velocity of the vertical component at its maximum?

Voy max is when (°) = 90°

What happens to the time when the angle is increased?

T up increases as the angle increase

What happens to the maximum height when the angle increases?

dymax increases as the angle increases

If a heavier object and a lighter object are dropped from the same height, which one will hit the ground first?

They hit the ground at the same time no matter the mass, as long as they are dropped from the same height