Question

player kicks a soccer ball from ground level and sends it flying at an angle of 30 degrees at a speed of 26 m/s. What is the horizontal velocity component of the ball to the nearest tenth of a m/s?

Answer 1

Answer

22.5 m/s

Explanation

We shall use the trigonometric ratio cosine to find the horizontal component.

cos = adjacent/hypotenuse

Adjacent is the horizontal and hypotenuse is the fly speed.

cos 30° = horizontal / 26

horizontal velocity = 26 × cos 30°

                                = 26 × 0.866

                                = 22.5166

                                 = 22.5 m/s

Answer 2

Solution

In this Question we have given,

Velocity, V=$26\frac{m}{s}$

angle,α=30 degrees

We have to find horizontal component of velocity,

$V_{x}=V\times Cos\alpha$

$V_{x}=26\times Cos\30$

$V_{x}=26\times 0.866$

$V_{x}=22.51\frac{m}{s}$

$V_{x}=23\frac{m}{s}$