## What are the 4 different formulas for vertical projectile motion?

v x = v 0 cos θ 0 = ( 30 m / s ) cos 45 ° = 21.2 m / s . v x = v 0 cos θ 0 = ( 30 m / s ) cos 45 ° = 21.2 m / s . The final vertical velocity is given by Equation 4.21: v y = v 0 y − g t .

## What are the equations for projectile motion?

Projectile motion equations

• Horizontal velocity component: Vx = V * cos(α)
• Vertical velocity component: Vy = V * sin(α)
• Time of flight: t = 2 * Vy / g.
• Range of the projectile: R = 2 * Vx * Vy / g.
• Maximum height: hmax = Vy² / (2 * g)

What is the projectile motion of a catapult?

A catapult is a launching device that allows us to experimentally observe projectile motion (see Figure 1). Once the ball is launched, the only forces acting are gravity and air resistance. Gravity accelerates the ball in the negative y direction. Air resistance accelerates the ball in the opposite direction of travel.

### What is the formula of velocity in projectile motion?

The trajectory has horizontal (x) and vertical (y) components. Velocity is a vector (it has magnitude and direction), so the overall velocity of an object can be found with vector addition of the x and y components: v2 = vx2 + vy2.

### What are 2 examples of projectile motion?

Examples of Projectile Motion

• Firing a Canon. When a cannonball is fired from a cannon, it does not move along a straight line, instead, it follows a curved path.
• Sneezing.
• Javelin Throw.
• Archery.
• Water Escaping a Hose.
• Car and Bike Stunts.
• Golf Ball.

What are the three equation of motion?

The three equations are, v = u + at. v² = u² + 2as. s = ut + ½at²

#### What is the formula for horizontal projectile motion?

Horizontal projectile motion equations Horizontal distance can be expressed as x = V * t . Vertical distance from the ground is described by the formula y = – g * t² / 2 , where g is the gravity acceleration and h is an elevation.

#### What is the formula of time of flight in projectile motion?

Time of flight is the total time taken to complete the projectile motion, it will be double the time taken to reach the maximum height. Hence, calculate time to reach maximum height by using equation \$v = u + at\$ and taking v = 0 for maximum height.