Mathematics Question

Question

When an object is dropped to the ground from a height of h meters, the time it takes for the object to reach the ground is given by the equation t=square root h/4.9, where t is measured in seconds. If an object hits the ground after falling for 2 seconds, find the height from which the object was dropped.

A) 9.8m

B) 196m

C) 98m

D) 19.6m

Answer 1

Hello Krystal,

Given the formula t = (√h/4.9)

Square both sides of the equation: t² = h/4.9

Multiply both sides of the equation: 4.9t² = h

Since t is known to equal 2, 4.9•2² = h

^{4.9•4 = 19.6 = h, the height from which the object is dropped: choice D)}

^Regards,

^{Anita A.}