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
Greeley [361]
3 years ago
14

Find the velocity, acceleration, and speed of a particle with the given position function. r(t = t2i 6tj 4 ln t k

Physics
1 answer:
artcher [175]3 years ago
6 0
1st derivative gives velocity;
d r(t)/ dt = 2t i + 6 j + 4/t k

2nd derivative gives acceleration;
d^2 r(t)/ dt^2 = 2 i - 4/ t^2

Speed ;
Square root of (4 t^2 + 36 + 16/ t^2)

For a given time, like 2 seconds, t will be 2. And answer of speed will be scalar.
You might be interested in
A man jumps from a 45 m cliff into a large body of water. How long will he fall before he enters the wate
julia-pushkina [17]

Answer:

about 2.5 seconds depending on if he jumps up and out or if he jumps out.

Explanation:

7 0
3 years ago
Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 4.86 and angle θA = 23.5 ∘ measured in the sense from the +x
trasher [3.6K]

Answer:

(A⃗ ×B⃗ )⋅C⃗  = 69.868

Explanation:

We simplify the cross product first, thereafter the solution of the cross product is now simplified with the dot product as shown in the step by step calculation in the attachment

4 0
3 years ago
A crane lifts a 400 N crate full of baked beans 15 m. How much work was done by the crane?
damaskus [11]

Answer:

6000 J

Explanation:

work = F x S

work = 400 x 15

work = 6000 J

3 0
3 years ago
Multiple-Concept Example 13 presents useful background for this problem. The cheetah is one of the fastest accelerating animals,
Andre45 [30]

Answer:

9241.6 W or 12.39318 hp

Explanation:

u = Initial velocity = 0

v = Final velocity

m = Mass

t = Time taken

Energy

KE=\frac{1}{2}m(v^2-u^2)\\\Rightarrow KE=\frac{1}{2}108(30.4^2-0^2)\\\Rightarrow KE=49904.64\ Joules

Power

P=\frac{KE}{t}\\\Rightarrow P=\frac{49904.64}{5.4}\\\Rightarrow P=9241.6\ W

Converting to hp

1\ W=\frac{1}{745.7}\ hp

\\\Rightarrow 9241.6\ W=\frac{9241.6}{745.7}\ hp=12.39318\ hp

The power developed by the cheetah is 9241.6 W or 12.39318 hp

7 0
3 years ago
I really don’t get this one
worty [1.4K]

Compounds are molecules with 2 or more elements

So the answer would be the third one

CO2;H2O

4 0
2 years ago
Other questions:
  • In a football game a kicker attempts a field goal. The ball remains in contact with the kicker's foot for 0.0800 s, during which
    8·1 answer
  • Definition of cloud formation in your own words
    13·1 answer
  • Yellow light is incident upon a medium from air at an angle of 45.0°. The light bends toward the normal and refracts at 28.0°. W
    9·2 answers
  • "An elevator is moving upward with a speed of 11 m/s. Three seconds later, the elevator is still moving upward, but its speed ha
    15·1 answer
  • Name and describe three measures of central tendency used to summarize data.
    6·1 answer
  • Need help on this one please
    5·1 answer
  • A crate is sliding down an inclined ramp at a constant speed of 0.55 m/s. The vector sum of all the forces acting on this crate
    5·1 answer
  • A car runs along a horizontal path at speed of 20m/s.The driver observes the rain hitting his car at 60 to vertical.If rain is a
    12·1 answer
  • Which is true about forensic testing? Forensic scientists must accurately interpret test results Evidence testing is no longer r
    6·1 answer
  • A elephant kicks a 5.0 kg stone with 150 J of kinetic energy.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!