Question

Want to try to cheat and a snowball fights to throw a snowball at a high angle and go over level ground. While your opponent is watching this first snowball, you throw a second snowball at a lower angle and time it to arrive at the same time as the first.

Assume both snowballs are thrown with the same initial speed 11.4 m/a. The first number was thrown at an angle of 65° above the horizontal. At what angle should you throw the second snowball to make it hit the same point as the first? note the starting and ending heights are the same. The acceleration of gravity is 9.8m/s^2.

Answer 1

To make the second snowball hit the same point, you need to throw it at an angle of approximately 57.2° above the horizontal.

Step-by-step explanation:

To make the second snowball hit the same point as the first, you need to determine the angle at which it should be thrown. In order to find this angle, you can use the range equation for projectile motion. Since the starting and ending heights are the same, the vertical components of velocities for both snowballs will be the same. Therefore, the vertical components of the velocities can be equated. Using this equation, you can solve for the angle at which the second snowball should be thrown.

The angle can be found using the equation:

tan(angle) = (2 * initial speed * sin(first angle))/(acceleration due to gravity)

Substituting the given values, we get:

tan(angle) = (2 * 11.4 * sin(65))/(9.8)

Using a scientific calculator, we can solve for the angle to be approximately 57.2°. So, the second snowball should be thrown at an angle of 57.2° above the horizontal to hit the same point as the first snowball.