Question

Superman is flying horizontally at a speed of 20 m/s and a height of 450 m when he suddenly loses the ability. How far does Superman move forward in the x-direction before he hits the ground?

Answer 1

Superman moves forward approximately 186.88 meters in the x-direction before hitting the ground.

Step-by-step explanation:

To solve this problem, we can use the equation:

x = vt

Where:

• x is the horizontal distance
• v is the horizontal velocity of Superman
• t is the time it takes for Superman to hit the ground

Given that Superman is flying horizontally at a speed of 20 m/s, we can assume that his horizontal velocity remains constant. To find the time it takes for Superman to hit the ground, we can use the equation:

t = √(2h/g)

Where:

• h is the height
• g is the acceleration due to gravity

Substituting the given values, we have:

t = √(2 * 450 m / 9.8 m/s2)

t = √91.84 s

Now, we can substitute the values of v and t into the equation for x:

x = 20 m/s * √91.84 s

x ≈ 186.88 m

Therefore, Superman moves forward approximately 186.88 meters in the x-direction before hitting the ground.