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denis23 [38]
3 years ago
13

The displacement (in meters) of a particle moving in a straight line is given by the equation of motion

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

  • -2/a³ m/s
  • -2 m/s
  • -1/4 m/s
  • -2/27 m/s

Step-by-step explanation:

The velocity is the derivative of position:

  v = ds/dt = (d/dt)(t^-2) = -2t^-3

For t=a, the velocity is

  -2a^-3 = -2/a³ . . . . meters per second

For t=1, the velocity is ...

  -2·1³ = -2 . . . . meters per second

For t=2, the velocity is ...

  -2·2^-3 = -2/8 = -1/4 . . . . meters per second

For t=3, the velocity is ...

  -2·3^-3 = -2/27 . . . . meters per second

You might be interested in
What are the domain and range of the function f(x)=-3(x-5)squared+4
svet-max [94.6K]
Domain is all real numbers
range
hmm
we know that x^2=a positive number
then multiply it by that negative -3
therefor the range is going to be mostly negative
if we make the x-5  equal to zero, then there is no negative, so
wher x=5, then f(5)=0+4=4
the highest positive number you can get is f(5)=4

so therfor

domain=all real number
range is x≤4
6 0
3 years ago
Please help! I've been working on this for a few days and I just don't understand, it's due in a few hours. Thank you.
never [62]

Answer:

Part A: α = arc tan (y/x) = tan⁻¹ (y/x)

Part B: quadrant II α = arc tan (- y/x) = arc (- tan (y/x)) = - tan⁻¹ (y/x) 180°>α>90°

            quadrant III α = arc tan (-y)/(-x) = arc tan (y/x) = tan⁻¹ (y/x) 270°>α>180°

            quadrant IV α = arc tan (- y/x) = arc (- tan (y/x)) = - tan⁻¹ (y/x) 360°>α>270°

Part C: quadrant II 180°>α>90°  α = tan⁻¹ (-6/1) = - tan⁻¹ 6 = 180° - 80.53° = 99.47°

Step-by-step explanation:

PART A:

In this case we will use trigonometric function tanα to calculate angle α:

tanα = y/x => α = arc tan (y/x) = tan⁻¹ (y/x)

This formula is use in general way and in first quadrant  90°>α>0°

Part B:

But in the other quadrants you must know to use unit circle to reduce angle from II, III and IV quadrant to the first quadrant.

If angle is in the quadrant II  180°>α>90° then

tanα = - tan (180°-α)

If angle is in the quadrant III  270°>α>180° then

tanα = tan (α-180°)

If angle is in the quadrant IV  360°>α>270° then

tanα =- tan (360°-α)

Part C:

vector w (x,y) = (-1,6) this vector lies in quadrant II      180°>α>90°

180°- α = tan⁻¹ (-6/1) = - tan⁻¹ 6 = 80.53°  => 180° - α = 80.53°

α = 180° - 80.53 = 99.47°

It's not easy to understand this, but it's not easy for me to explain.

God with you!!!

5 0
3 years ago
FIRST RIGHT ANSWER GETS BRAINLIEST
Shtirlitz [24]

Answer:

what's the question

Step-by-step explanation:

........

3 0
3 years ago
What is the Area of 28in circle rounded to the nearest hundred
Slav-nsk [51]

Answer:

The circumference is similar to the perimeter in that it is the total length needed to draw the circle.

We note the circumference as c.

c = 2πr

or

c = πd

This depends on whether or not you know the radius (r) or the diameter (d)

Let’s calculate one manually, for example.

If r = 6 cm, then the circumference is c = 2π(6) = 12π cm, if writing in terms of π. If you prefer a numerical value, the answer rounded to the nearest tenth is 37.7 cm.

Suppose you only know the diameter? If the diameter is 8 cm, then the circumference is c = π(8) = 8π or 25.1 cm, rounded to the nearest tenth.

Step-by-step explanation:

7 0
3 years ago
What is the gradient of the graph shown?
insens350 [35]

Answer:

Step-by-step explanation:

4 0
2 years ago
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