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tatyana61 [14]
3 years ago
15

A particle is moving along the curve y=22x+1−−−−−√y=22x+1. As the particle passes through the point (4,6)(4,6), its xx-coordinat

e increases at a rate of 44 units per second. Find the rate of change of the distance from the particle to the origin at this instant?

Mathematics
1 answer:
Ahat [919]3 years ago
3 0

Answer:

the rate of change of the distance from the particle to the origin at this instant = 3.33unit/secs

Step-by-step explanation:

The approach to solve the question involves , concept of rate of change in differentiation, implicit differentiation and appropriate substitution were made to get the rate of change of distance.

The steps are as shown in the attached file.

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7 0
2 years ago
The projectile motion of an object can be modeled using s(t)=gt^2+v0t+s0, where g is the acceleration due to gravity, t is the t
RSB [31]

Answer:

S(t) = -4.9t^2 + Vot + 282.24

Step-by-step explanation:

Since the rocket is launched from the ground, So = 0 and S(t) = 0

Using s(t)=gt^2+v0t+s0 to get time t

Where g acceleration due to gravity = -4.9m/s^2. and

initial velocity = 39.2 m/a

0 = -4.9t2 + 39.2t

4.9t = 39.2

t = 8s

Substitute t in the model equation

S(t) = -49(8^2) + 3.92(8) + So

Let S(t) =0

0 = - 313.6 + 31.36 + So

So = 282.24m

The equation that can be used to model the height of the rocket after t seconds will be:

S(t) = -4.9t^2 + Vot + 282.24

7 0
3 years ago
Read 2 more answers
U need help ASAP!!!Please explain the answer
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ANSWER:
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EXPLANATION:
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7 0
3 years ago
Which dimensions can create more than one triangle? A. Three angles measuring 75°,45°, and 60°. B. 3 sides measuring 7, 10, 12?
NeTakaya

This is vague.  Any dimensions that make a triangle can make more than one, just draw another right next to it.  What's really being asked is which dimensions can make more than one non-congruent triangle.

<span>A. Three angles measuring 75°,45°, and 60°.

That's three angles, and 75+45+60 = 180, so it's a legit triangle. The angles don't determine the sides, so we have whole family of similar triangles with these dimensions.  TRUE

<span>B. 3 sides measuring 7, 10, 12?

</span>Three sides determine the triangles size and shape uniquely; FALSE

<em>C. Three angles measuring 40</em></span><span><em>°</em></span><em>, 50°</em><span><em>, and 60°? </em>

40+50+60=150, no such triangle exists.  FALSE

<em>D. 3 sides measuring 3,4,and 5</em>

Again, three sides uniquely determine a triangle's size and shape;  FALSE


</span>
7 0
3 years ago
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Solve the equation <br> 1/6(12z-18)=2z-3
Romashka-Z-Leto [24]
1/6(12z-18)=2z-3

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