Question

ingrid kicks a football with an initial velocity of 12 m/s at an angle 45 relative to the ground. what is the horizontal component of the initial velocity to the nearest tenth

Answer 1

is correct answer => 8.5 m/s

Answer 2

Let's assume that the coordinate system is defined as positive in the first quadrant.

The system has its origin in the place where Ingrid kicks the football ball.

We have then that the horizontal component is given by:

$x = 12cos (45)$

Rewriting we have:

$x = 12 ( \frac{\sqrt{2}}{2})\\x = 8.485281374$

Rounding the obtained result we have:

$x = 8.5 \frac{m}{s}$

Answer:

The horizontal component of the initial velocity to the nearest tenth is:

$x = 8.5 \frac{m}{s}$