## What is the equation for projectile motion?

h = v 0 y 2 2 g . h = v 0 y 2 2 g . This equation defines the maximum height of a projectile above its launch position and it depends only on the vertical component of the initial velocity.

**How do you find velocity in 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 formula to find final velocity?**

Final velocity (v) of an object equals initial velocity (u) of that object plus acceleration (a) of the object times the elapsed time (t) from u to v. Use standard gravity, a = 9.80665 m/s2, for equations involving the Earth’s gravitational force as the acceleration rate of an object.

### How do you solve displacement problems?

The resultant displacement formula is written as: S = √x²+y². “S” stands for displacement. X is the first direction that the object is traveling and Y is the second direction that the object is traveling. If your object only travels in one direction, then Y = 0.

**What’s the formula for distance in physics?**

To solve for distance use the formula for distance d = st, or distance equals speed times time.

**What is the formula for maximum range?**

Range. The range of the motion is fixed by the condition y=0 . Using this we can rearrange the parabolic motion equation to find the range of the motion: R=u2⋅sin2θg R = u 2 ⋅ sin 2 θ g .

## What is the formula for projectile motion analysis?

Projectile motion analysis. Three vectors – v, vx and vy – form a right triangle. Write down the equations of motion. Horizontal distance traveled can be expressed as x = vx * t, where t is the time. Vertical distance from the ground is described by the formula y = vy * t – g * t^2 / 2, where g is the gravity acceleration.

**What is the value of YYO when the projectile is at?**

yo= 0, and, when the projectile is at the maximum height, vy= 0. Solving the equation for ymaxgives: ymax= – voy2/(2 ay)

**How do you calculate the trajectory of a projectile?**

Projectile Motion Formula or trajectory formula is formulated as. Where, V x = the velocity (along the x-axis) V xo = Initial velocity (along the x-axis) V y = velocity (along the y-axis) V yo = Initial velocity (along the y-axis) g = acceleration due to gravity. t = Time taken.

### What is the initial velocity of a projectile?

V o is the initial velocity. sin θ is the component along the y-axis. cos θ is the component along the x-axis. The formula of projectile motion is used to calculate the velocity, distance and time observed in the projectile motion of the object.