Category: Projectile Motion Formula

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 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.

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) =…

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) =…

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

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…

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…