Question

The distance d (in feet) a penny falls from the window of a building is represented by d = 16t^2 where t is the time (in seconds) it takes for a penny to hit the ground. How long does it take for the penny to hit the ground when it falls from a height of 400 feet?

Answer 1

Answer:

5 seconds

Step-by-step explanation:

d = 16t^2

You are given the distance, d, and you need to find the time, t. Replace d with the given distance, 400 ft.

d = 400

400 = 16t^2

Switch sides.

16t^2 = 400

Divide both sides by 16.

t^2 = 25

Take the square root of both sides.

t = 5

Answer: 5 seconds

Answer 2

It takes 5 seconds for the penny to hit the ground when it falls from a height of 400 feet.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The distance d (in feet) a penny falls from the window of a building is represented by ;

$d = 16t^2$

where t is the time (in seconds) it takes for a penny to hit the ground.

d = 400

$400 = 16t^2\\\\16t^2 = 400\\t^2 = 25\\t = 5$

Therefore, It takes 5 seconds for the penny to hit the ground when it falls from a height of 400 feet.

Learn more about quadratic equations;

brainly.com/question/13197897

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