An object is dropped from a height of 1,600 feet. The amount of time, in seconds, the object takes to hit the ground can be found by solving the equation - 16t2+1,600=0. How many seconds will it take to hit the ground?

Question

Cordell Rosario

Mathematics

9 July, 11:36

An object is dropped from a height of 1,600 feet. The amount of time, in seconds, the object takes to hit the ground can be found by solving the equation - 16t2+1,600=0. How many seconds will it take to hit the ground?

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Answers (1)

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Trevor Jordan · Answer 1

As it is stated in this item, in order to determine the amount of time it takes to hit the ground, the equation

-16t² + 1600 = 0

Transpose the terms without variable to the other side of the equation,

-16t² = - 1600

Divide the equation by - 16.

t² = 100

Solve the value of t by getting the square root of the equation.

t = + / - 10

Thus, it will take the object 10 seconds to reach the ground.