Question

Batman needs to get to the top of a building to defuse a bomb. He is standing at rest and takes out his grapple gun, which accelerates him at 1.5m/s². He reaches the top of the building in 8.7 seconds. How tall is the building?

A) 106.86 meters
B) 130.50 meters
C) 80.64 meters
D) 92.52 meters

Answer 1

To find the height of the building, we can use the equation: d = vi * t + 1/2 * a * t^2. Plugging in the given values, we find that the height of the building is approximately 106.86 meters.

Step-by-step explanation:

To find the height of the building, we can use the equation:

d = vi * t + 1/2 * a * t^2

Where d is the distance, vi is the initial velocity (which is 0 in this case), t is the time, and a is the acceleration. In this problem, the distance is the height of the building, the initial velocity is 0, the time is 8.7 seconds, and the acceleration is 1.5 m/s². Plugging these values into the equation, we get: d = 0 * 8.7 + 1/2 * 1.5 * (8.7)^2

Simplifying, we find that the height of the building is approximately 106.86 meters. Therefore, the correct answer is A) 106.86 meters.