Suppose that an object is dropped from the top of a building that is 496.86 meters tall. How long does it take to hit the ground? Round your answer to the nearest tenth.

Question

If an object is dropped from a height of h

 meters and hits the ground in t

 seconds, then t= the square root of h over 4.9

. Suppose that an object is dropped from the top of a building that is 496.86

 meters tall. How long does it take to hit the ground?Round your answer to the nearest tenth.

Answer 1

Hi, Julia,

You are given a formula for t, so all you need to do here is plug in the given value for h:

t = √(h/4.9)

t = √(496.86/4.9) Plugging in given value for h

t = √101.4 Simpify by division

t = 10.07 (approx) Using calculator for square root

t = 10.1 Rounding to nearest tenth as instructed.

Best wishes!