1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PtichkaEL [24]
3 years ago
5

A particle moves according to the law of motion s(t) = t^{3}-8t^{2}+2t, where t is measured in seconds and s in feet.

Mathematics
1 answer:
vovangra [49]3 years ago
3 0

Answer:

a) v(t) = 3t^{2} - 16t + 2

b) The velocity after 3 seconds is -3m/s.

c) t = 0.13s and t = 5.2s.

Step-by-step explanation:

The position is given by the following equation.

s(t) = t^{3} - 8t^{2} + 2t

(a) Find the velocity at time t.

The velocity is the derivative of position. So:

v(t) = s^{\prime}(t) = 3t^{2} - 16t + 2.

(b) What is the velocity after 3 seconds?

This is v(3).

v(t) = 3t^{2} - 16t + 2

v(3) = 3*(3)^{2} - 16*(3) + 2 = -19

The velocity after 3 seconds is -3m/s.

(c) When is the particle at rest?

This is when v(t) = 0.

So:

v(t) = 3t^{2} - 16t + 2

3t^{2} - 16t + 2 = 0

This is when t = 0.13s and t = 5.2s.

You might be interested in
In the formula Distance = Rate x Time, is the relationship between rate and time an inverse relationship?
Sati [7]

Answer:

No I don't think I tried to help so good luck.

4 0
4 years ago
Read 2 more answers
What is the answer to 25% of 50
a_sh-v [17]

Answer:

12.5

Step-by-step explanation:

.25 x 50= 12.5

8 0
2 years ago
Help with #23 pleaseee
Thepotemich [5.8K]

Answer:

53 degrees  

angle DCE is congruent to angle DAE.

3 0
3 years ago
Read 2 more answers
Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. Write an algebraic e
tester [92]

Answer:

x + 29 = 41

Step-by-step explanation:

Trevon received some money, but we don't know how much, so we will represent that with x.

The money he received will be add the amount he had last friday, $29.

The equation will equal his current amount, $41.

6 0
2 years ago
A note has a wavelength of 0.77955 m. If the speed of sound is 343.00 m/s, what pitch is this note?
andrezito [222]

Answer:

A note has a wavelength of 0.77955 m. If the speed of sound is 343.00 m/s, what pitch is this note?

f = (343m/s) / 0.77955m = 439.997 0r 440 Hz Pitch is an A.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Mason has 108 feet of material to build a fence around a rectangular pool on his property. If the width of the fence must be 6 f
    5·2 answers
  • 5 (-3.5) + 4 3/4 - 3.25 divided by -4
    5·1 answer
  • A triangle on a coordinate plane is translated according to the rule T-3, 5(x, y). Which is another way to write this rule?
    6·2 answers
  • Look At the top. I need answers!!!!!
    12·1 answer
  • Angie, blake, carlos, and daisy went running. angie ran 1/3 mile, blake ran 3/5 mile, carlos ran 7/10 mile, and daisy ran 1/2 mi
    14·1 answer
  • Find the rectangular coordinates of the point (-3,1/2pi)
    5·1 answer
  • Please HELPP with this question
    6·2 answers
  • Identify the errors made in finding the inverse of
    5·1 answer
  • Can someone explain this to me?
    12·1 answer
  • I'LL GIVE BRAINLIEST<br><br> A or D
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!