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  • Circular or Rotational Motion

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    What exactly do we mean by circular motion or rotation? Rotational motion is the circular motion of an object about an axis of rotation when an object moves in a circular path. For example, circular motions include a race car speeding around a circular curve or a toy which is attached to a string swinging…

  • Rotational Speed Definition & Problems

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    Previously, we have learned the topics of angular speed, so here, we will discuss the formula of angular speed. The formula for the angular speed is used to calculate the distance one particular body covers in terms of rotations or the revolutions to the time taken. Speed is all about how slow or how fast…

  • Solved Example

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    Question: A guy can swim at a speed of 4.0 km/h in still water. How long does it take him to traverse a 1.0 km wide river at 3.0 km/h while keeping his strokes parallel to the current? After he reaches the opposite bank, how far down the river does he go? Sol: Speed of…

  • The Equation of Trajectory

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    The trajectory equation is the path taken by a particle during projectile motion. The following is the equation: y = x tanθ – gx2/2u2cos2θ Because this equation is similar to the parabola (y = ax + bx2), it is concluded that that projectile motion is always parabolic in character.

  • Horizontal Range 

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    It is defined as the horizontal distance covered to the maximum distance possible. The horizontal range is a distance (OB) is: OB = Horizontal component of velocity(ux) * Total time(t)    (ux = u cosθ and t = 2usinθ/g) That is, Range(R) = ucosθ * 2usinθ/g      Horizontal Range of the projectile is: Horizontal Range(R) =…

  • 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.