Projectile Motion Calculator

(Solution 1, Solution 2) = (-0, -0) What is the Answer? (Solution 1, Solution 2) = (-0, -0) How does the Projectile Motion Calculator work? Free Projectile Motion Calculator - Solves for time using a height and velocity of an object thrown up in the airThis calculator has 1 input.

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Enter projectile motion problem

Set up the projectile motion equation:

h(t) = -16t2 + vt + h where:
h = height, v = velocity, and t = time

Plug in our numbers

h(t) = -16t2 + ()t +

When does the object hit the ground:

Set h(t) = 0
-16t2 + t + = 0

Evaluate the quadratic

Only take positive values
since height cannot be negative

Quadratic Formula

  =  -b ± √b2 - 4ac
  2a

Calculate -b

-b = -()
-b = 0

Calculate the discriminant Δ

Δ = b2 - 4ac:
Δ = 2 - 4 x -16 x
Δ = 0 - 0
Δ = 0 <--- Discriminant
Since Δ = 0, we expect one real root.

Take the square root of Δ

√Δ = √(0)
√Δ = (0±√0)/

-b + Δ:

Numerator 1 = -b + √Δ
Numerator 1 = 0 + √0

-b - Δ:

Numerator 2 = -b - √Δ
Numerator 2 = 0 - √0

Calculate 2a

Denominator = 2 * a
Denominator = 2 * -16
Denominator = -32

Find Solutions

Solution 1  =  Numerator 1
  Denominator

Solution 1  =  0
  -32

  Solution 1  =  -0
Solution 2  =  Numerator 2
  Denominator

Solution 2  =  0
  -32

  Solution 2  =  -0

Solution Set

(Solution 1, Solution 2) = (-0, -0)

Prove our first answer

(-0)2(-0) ? 0
(0) + 00 ? 0
-0 + 00 ? 0
0 = 0

Prove our second answer

(-0)2(-0) ? 0
(0) + 00 ? 0
-0 + 00 ? 0
0 = 0

(Solution 1, Solution 2) = (-0, -0)


What is the Answer?

(Solution 1, Solution 2) = (-0, -0)

How does the Projectile Motion Calculator work?

Free Projectile Motion Calculator - Solves for time using a height and velocity of an object thrown up in the air
This calculator has 1 input.

What 1 formula is used for the Projectile Motion Calculator?

h(t) = -16t2 + vt + h where: h = height, v = velocity, and t = time

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Projectile Motion Calculator?

heightthe distance from the bottom to the top of something standing upright projectile motiona form of motion experienced by an object or particle that is projected in a gravitational fieldquadratic equationEquation with a polynomial with a maximum term degree as the second degreevelocityspeed of an object in a given direction

Example calculations for the Projectile Motion Calculator

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