SOLUTION: the speed of an object increases as it falls towards the ground. the speed (d) and the time (t) it will take for the object to reach the ground from where it came from are related
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Question 982066: the speed of an object increases as it falls towards the ground. the speed (d) and the time (t) it will take for the object to reach the ground from where it came from are related by the quadratic equation where g is the acceleration due to gravity. what happens to the value of d if t is doubled?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Use input as and compare to the given formula.
d of 2t,
Doubling the time will increase d by a factor of 4.
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Understand carefully, the equation is a formula for a number, d; and that d stands for speed of falling in terms of time t.
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The question intends for us to compare the expressions for input of t and of 2t. Do not get too stuck on the meaning of d at this stage of analysis.
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You could say, d is a function of t, and change how the definition is expressed and say:
and remember what d means. d is falling time which depends on t.
You are basically asked to compare with .
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Still not understood?
Formula for d is .
What happens to d if time is doubled?
Same as, what happens if t is replaced with 2t?
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Put 2t in place of t in the formula:
Use of commutative property, ;
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NOW, how does compare to ?
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