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Slav-nsk [51]
3 years ago
6

Can someone help me answer this please

Mathematics
1 answer:
Stella [2.4K]3 years ago
7 0
It would be the third option :)
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3 years ago
A particle moves along a straight line. The distance of the particle from the origin at time t is modeled by the equation below.
laiz [17]

Answer:

The value of t that will satisfy the equation is π/6 (which is 30 degrees)

Step-by-step explanation:

The function that models the movement of the particle is given as;

S(t) = 2 sin(t) + 3 cos (t)

Now we want to the value of t between 0 and pi/2 that satisfies the equation;

s(t) = (2+ 3√3)/2 = 1 + 3√3/2

What we do here is simply find that value of t that would ensure that;

2sin(t) + 3cos(t) = 1 + 3√3/2

Without any need for rigorous calculations, this value of t can be gotten by inspection.

From our regular trigonometry, we know that the sin of angle 30 is 1/2 and its cos value is √3/2

We can make a substitution for it in this equation.

We obtain the following;

2 sin(30) + 3cos (30) and that is exactly equal to 1 + 3√3/2

Do not forget however that we have a range. And the range in question is between 0 and π/2

Kindly that π/2 in degrees is 90 degrees

So our range of values here is between 0 and 90 degrees.

So to follow the notation in the question, the value within the range that will satisfy the equation is π/6

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Have a nice day;) it’s ok to be tired but keep pushing. Just a lil while more
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thx

Step-by-step explanation:

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Https://us-static.z-dn.net/files/d18/ce7107c58c34f8e2cf6c1f3e05752043.jpeg

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