Question

You are on a weird planet in which gravity is 8 m/s2 at -75 from the horizontal. You throw a ball 12 m/s horizontal from a height of 10 m. How far does it travel horizontally?

Answer 1

To find the horizontal distance traveled by the ball, we need to consider the horizontal motion. Using the equations of motion, we can calculate the time it takes for the ball to reach the ground and then use that time to find the horizontal distance.

Step-by-step explanation:

To find how far the ball travels horizontally, we need to consider the horizontal motion of the ball. Since there is no horizontal force acting on the ball, it will continue to move horizontally at a constant velocity. The initial horizontal velocity of the ball is 12 m/s. The time it takes for the ball to reach the ground can be found using the vertical motion equation:

h = ut + (1/2)gt^2

where h is the initial height of the ball, u is the initial vertical velocity, g is the acceleration due to gravity, and t is the time.

Plugging in the values:

10 = 0 + (1/2)(8)t^2

Solving for t:

t^2 = 10 / (4)

t = √(10 / 4) = 1.58 s (approx)

The horizontal distance traveled by the ball can be calculated using the horizontal motion equation:

d = ut

where d is the horizontal distance, u is the initial horizontal velocity, and t is the time.

Plugging in the values:

d = 12 x 1.58 = 18.96 m (approx)

Therefore, the ball will travel approximately 18.96 meters horizontally.