Question

Assume the following: - The goats must clear a 4-meter wide crevasse to land at the same height on the cliff on the opposite side. - The goats jump at an angle of 30∘ to the horizontal. - All goats have the same mass and height. That means that the quantities calculated are the same for all goats. Answer the following:

What minimum launch speed must the goats have to ensure a safe landing?

Answer 1

To find the minimum launch speed, we can use the equation: Launch speed = horizontal distance / time. Substituting the given values, we have: Launch speed = 4 meters / time.

Step-by-step explanation:

To calculate the minimum launch speed required for the goats to ensure a safe landing, we can use the principles of projectile motion.

When an object is launched at an angle, it can be broken down into horizontal and vertical components of motion. The horizontal component remains constant throughout the motion, while the vertical component is affected by gravity.

In this case, the goats must clear a 4-meter wide crevasse, so the horizontal distance traveled will be 4 meters. The angle of launch is given as 30 degrees. To find the minimum launch speed, we can use the following equation:

Horizontal distance = launch speed * time

We know that the time of flight will be the same for all goats, as they must land at the same height on the opposite side of the crevasse. Therefore, we can rearrange the equation to solve for launch speed:

Launch speed = horizontal distance / time

Substituting the given values, we have:

Launch speed = 4 meters / time