The set of all x values that make up the function is called the
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A projectile is an object <u>launched</u> into space, and moving under the <em>influence</em> of <u>gravity</u> and <u>momentum</u>. The <em>stone</em> here is an example. Thus, the <em>time</em> taken for the stone to reach the ground is 10 seconds.
On <em>launching</em> of the stone into <u>space</u>, it behaves as a <u>projectile</u>. Thus moving under the <em>influence</em> of gravity and its momentum. Its <u>momentum</u> is the <em>product</em> of its <u>mass </u>and <u>velocity</u>.
The height h, is given as:
h = 16 + 32t + 240
Differentiating the expression with respect to t, we have;
32t + 32 = 0
t = -1 seconds
Substitute the value of time, t, in the equation for the height;
h = 16 - 32 + 240
= 224
h = 224 m
Total height, S = 240 + 224
= 464
S = 464 m
The total height covered by the stone is 464 m.
From the second equation of <em>free fall</em>,
S = Ut + g
S = g
464 = *9.8*
=
= 94.694
t =
= 9.7311
t ≅ 10 seconds
The <em>time taken</em> for the stone to hit the ground is 10 seconds.
Thus option A is the required answer.
The due date of the promissory note is May 24th 2013.
Data;
- Present Value (PV) = $3600
- Interest = $370
- Future Value (FV) = PV + I = $3600 + $370 = $3970
To calculate the due date of the note, we can use the formula of future value of the note.
Let's take the natural log of both sides
This is approximately 12 months and 9 days.
The due date of the promissory note is May 24th 2013.
Learn more on promissory note here;