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Problem 2: A football leaves the foot of a punter at an angle of 54° (positive x-direction) at a speed of 21 m/s. Determine the horizontal and vertical components of the velocity?

Solution

The problem may be solved by geometric as well as trigonometric method. We solve it by trigonometric method. You may use the other method to solve it.

Given:                   Velocity of the ball = 21 m/s                        Angle with x-axis = 54°

Required:            x-component of the velocity, Vx and y-component of the velocity, Vy

Formulae:           Vx = Vcosθ                           Vy = Vsinθ

Consider the figure on the below.

Put the values in the formulae given above,

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