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An objects motion is described by the equation d= 4sin (pi t) what will the height of the object be at 1.75 seconds?

User Bernardine
by
7.4k points

2 Answers

6 votes

Answer: 0.38 Meters

Explanation:

plug 1.75 in for t and solve, do not convert into units as you need the height so meters is accurate.

d=0.38

User IBr
by
7.5k points
0 votes

Answer:

-2√2, or ≈-2.83

Explanation:

Well, when t = 1.75, our equation should be
d=4sin((\pi \cdot1.75)).

Note that
\pi\cdot1.75=(7\pi)/(4). Using the unit circle (attached), we can find that the value of sine at
(7\pi)/(4) radians is exactly
-(\sqrt2)/(2). Plugging that value back into our equation gives us


d=4\cdot\left(-(\sqrt2)/(2) \right)=-(4\sqrt2)/(2)=-2\sqrt2

So our answer is
d=-2\sqrt2, in whatever units we're using to measure height.

User Jason Leveille
by
8.1k points
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