Projectile Motion Calculator, Formula with Sample Examples

Projectile Motion Calculator :

Enter the projectile motion calculator its calculate the Initial velocity (V) in m/s, Angle of launch (α) in degrees(deg), Initial height (h) in meters(m), Time of flight (t) in seconds(sec), Distance (d) in meters(m), Maximum height (hmax) in meters(m), and you get the calculation below the calculator.

Projectile Motion Calculator

Projectile Motion Formula :

Projectile motion is horizontal distance x is equal to the vx0(m/s) in meter per second and multiply the  time taken t (s) in second. Hence the projectile motion formula can be written as

Horizontal distance ,x=vx0(m/s)* t (s)

Horizontal velocity ,Vx=Vx0

Vertical distance y=Vyo t-1/2  gt2

Vertical velocity, Vy=Vyo-gt

Where,

Vx  → velocity (along the x-axis)

vx0→ initial velocity (along the x-axis)

Vy  → velocity (along the y-axis)

Vyo → initial velocity (along the y-axis)

G → acceleration due to gravity in Newton/Kg-1

T → time taken in second

Equations related to the projectile motion is given as,

Time of Flight t=2v0 Sin θ/g

Maximum height reached H=VO2 Sin2 θ /2g

Horizontal range R= VO2 Sin 2 θ/g

Where,

V0→ initial velocity s the initial velocity

Sin θ→ component along the y-axis

cos θ→ component along x- axis

The formula of projectile motion is used to calculate the velocity, distance and time observed in the projectile motion of the object

Sample Examples :

Example1 :

Johnson is standing on the top of the building and john is standing down. If Johnson tosses a ball with a velocity 50m/s and at the angle 400 then at the  2s what height will the ball reach?

Solution :

Given,

Vyo =50m/s

Δt=2s

The vertical velocity in the y direction is expressed as

Vy=Vyo Sin 400

Vy=50  sin 40

Vy =37.25m/s

Example2 :

Johnson is standing on the top of the building and john is standing down. If Johnson tosses a ball with a velocity 80m/s and at the angle 500 then at the  4s what height will the ball reach?

Solution :

Given,

Vyo =80m/s

Δt=4s

The vertical velocity in the y direction is expressed as

Vy=Vyo* Sin 500

Vy=80 * sin 500

Vy =61.31m/s

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