Question

If an object is dropped from a height of h meters and hits the ground in t seconds, then t= v 4.9. suppose that an object dropped from the top of a building takes 5.22 seconds to hit the ground. what is the building's height

a) 102.0 meters
b) 112.0 meters
c) 122.0 meters
d) 132.0 meters

Answer 1

To find the height of the building from which the object was dropped, we use the formula h = 0.5 * g * t^2. Plugging in the values, we get a height of approximately 133.5 meters, so the nearest answer is (d) 132.0 meters.

Step-by-step explanation:

If an object is dropped from a height of h meters and hits the ground in t seconds, to find the height from which it was dropped, we can use the formula h = 0.5 * g * t^2, where g is the acceleration due to gravity (approximately 9.8 m/s2). Taking g as approximately 9.8 m/s2, we would have h = 0.5 * 9.8 m/s2 * (5.22 s)2. Calculating this gives us the building's height.

h = 0.5 * 9.8 m/s2 * 5.22 s2
= 0.5 * 9.8 * 27.2284
= 133.52136 meters

So, the closest answer to this calculated height is option (d) 132.0 meters, when rounded to the nearest whole number.