if an object from a height of h meters and hits the ground in t seconds, then t=√h/4.9 . suppose that an object dropped from the top of a building takes 5.35 seconds to hit the ground. what is the buildings height?
To find the height of the building, we can rearrange the equation t = √(h/4.9) to solve for h:
t = √(h/4.9)
Square both sides to eliminate the square root:
t^2 = h/4.9
Multiply both sides by 4.9 to isolate h:
4.9 * t^2 = h
Now, we can substitute the given value of t = 5.35 seconds into the equation:
4.9 * (5.35)^2 = h
Calculating this expression:
4.9 * 28.6225 = h
140.60275 = h
The height of the building is approximately 140.6 meters.