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  • Maximum Height 

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    It is the particle’s highest point (point A). The vertical component of the velocity (Vy) will be zero when the ball reaches point A.  That is, 0 = (usinθ)2 – 2gHmax       ( S = Hmax, vy = 0 and uy = u sin θ ) The Maximum Height of the projectile is: Maximum Height (Hmax) =…

  • Time of Flight

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    It is the total amount of time the projectile remains in the air. In Y direction total displacement (Sy) = 0. Taking motion in Y direction, Sy = uyt – 1/2(gt2)    (Here, uy = u sinθ and Sy = 0) i.e.      0 = usinθ – 1/2(gt2) t = 2usinθ/g Time of Flight(t) = 2usinθ/g

  • Formulas and Concepts of Projectile Motion

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    The projectile motion is divided into two parts: a horizontal motion with no acceleration and a vertical motion with constant acceleration due to gravity. Consider the following example of a ball being launched at an angle from point O to the horizontal x-axis with an initial velocity of u: (Image will be uploaded soon) Differential…

  • Projectile Motion

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    The path that an object takes when thrown at an angle other than 90 degrees from a horizontal point is known as a trajectory, the object is known as a projectile, and the motion is defined as the projectile motion. Football, baseball, cricket ball, and any other object are instances of projectile motion. There are…

  • Example

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    A wave is y = 2sin(4t). Find out its amplitude. Solution: Given: wave equation y = 2sin (4t) using the amplitude formula, x = A sin(ωt + ϕ) When compared to the wave equation, A = 2 ω = 4 ϕ = 0 As a result, the wave’s amplitude is 2 units.

  • What is the Amplitude Formula?

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    The largest deviation of a variable from its mean value is referred to as amplitude. The sine and cosine functions can be calculated using the amplitude formula. A is the symbol for amplitude. The sine (or cosine) function can be written as follows: x = A sin (ωt + ϕ)   or   x =…

  • Equations for Wave Amplitude

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    Amplitude refers to the maximum change of a variable from its mean value (when the variable oscillates about this mean value). In to and fro motion of a particle about a mean position, it is the maximum displacement from its mean position. Similarly, amplitudes are defined for periodic pressure variations, periodic current or voltage variations,…

  • How Does the Spring Constant Depend on the Length?

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    Suppose we have a spring of 6 cm with a spring constant k. What happens if we split the spring into two bits of equal size? There will be a new spring constant for one of these shorter springs, which will be 2k. More generally, a spring’s spring constant is inversely proportional to the spring’s…

  • Spring Constant

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    Now, the Spring constant is defined as the force required to restore the spring to its original shape per unit of extension of the spring. This also means that after knowing the spring constant we can easily find how much force is needed to deform the spring. Because if we apply more force than what…

  • Hooke’s Law

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    Hooke’s law defines the relation between the force applied and the distance stretched in the spring. The force required to compress or extend a spring is directly proportional to the distance it is extended. This is based on Newton’s third law of motion which states that for every action, there is an equal and opposite…