Question

The height of a building is $1446$ feet. How long would it take an object to fall to the ground from the top, using the formula $d = 16{t^2}$?

Answer 1

Hint: We will start off by substituting the value of the distance in the formula. Then next reduce the terms on both the sides if possible. After that we will take square roots on both the sides of the equation in order to solve for the value of time.

Complete step by step answer:
We will start off by substituting the distance that is the height of the building in the formula.
$1446 = 16{t^2}$
Now we will divide both the sides by $16$.
$
  1446 = 16{t^2} \\
  90.375 = {t^2} \\
 $
Now we take square root on both sides.
$
  \sqrt {{t^2}} = \sqrt {90.375} \\
  t = 9.507 \\
 $

Hence, the time required by the object to fall from the height is approximately $9.507$ seconds

Additional Information:
Expression is a mathematical sentence which has numbers, variables, and operations and there is no equal sign. Simplify means to break down an expression to its simplest forms. Variable is a number that we don’t know, or which can change. Algebraic expressions are useful because they represent the value of an expression for all of the values a variable can take on. Sometimes in math, we describe an expression with a phrase. When we describe an expression in words that includes a variable, we are describing an algebraic expression, an expression with a variable.

Note: While converting orders do not matter for addition and multiplication. But order is important for subtraction and division. Make sure that you read the statement twice before translating it to an expression. Pay extra attention to the statements where multiplication and division is involved.