Spitting cobras can defend themselves by squeezing muscles around the venom glands to squirt venom at an attacker. supposed spitting cobra rears up to a height of 0.500 m above the ground and launches venom at 3.50 m/s, directed at 50.0° above the horizon. neglecting air is a stance, find the horizontal distance traveled by the venom before it hits the ground.

1.56 m

Explanation:

This situation is a good example of the projectile motion or parabolic motion, and the main equations that will be helpful in this situations are:

x-component:

  (1)

Where:

is the horizontal distance

is the initial speed

is the angle at which the venom was shot

is the time since the venom is shot until it hits the ground

y-component:

  (2)

Where:

 is the initial height of the venom

 is the final height of the venom (when it finally hits the ground)

 is the acceleration due gravity

Knowing this, let's begin:

First we have to find from (2):

  (3)

Rearranging (3):

  (4)

This is a quadratic equation (also called equation of the second degree) of the form , which can be solved with the following formula:

(5)

Where:

Substituting the known values:

(6)

Solving (6) we find the positive result is:

(7)

Substituting (7) in (1):

  (8)

Finally:

  (9)