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
liubo4ka [24]
4 years ago
5

The acceleration of a particle is given by a = -kt^2, where a is in meters per second squared and the time t is in seconds. If t

he initial velocity of the particle at t=0 is__________.
Physics
1 answer:
QveST [7]4 years ago
4 0

Answer:

Velocity is zero.

Explanation:

Given:

  • acceleration of particle, a=-k.t^2\ m.s^{-2}
  • time of observation, t=0\ s

We know that acceleration is defined as the rate of change in velocity and hence we integrate the expression of acceleration.

<u>Now the velocity can be given as:</u>

v=\int\limits {a} .\, dt=-k.\frac{t^3}{3}

Put t = 0 we get:

v=0\ m.s^{-1}

You might be interested in
Let’s say I am in a bumper car and have a velocity of 14 m/s, driving in the positive x-direction. I and my bumped car have a ma
AlekseyPX

Answer:

160 kg

12 m/s

Explanation:

m_1 = Mass of first car = 120 kg

m_2 = Mass of second car

u_1 = Initial Velocity of first car = 14 m/s

u_2 = Initial Velocity of second car = 0 m/s

v_1 = Final Velocity of first car = -2 m/s

v_2 = Final Velocity of second car

For perfectly elastic collision

m_{1}u_{1}+m_{2}u_{2}=m_{1}v_{1}+m_{2}v_{2}\\\Rightarrow m_2v_2=m_{1}u_{1}+m_{2}u_{2}-m_{1}v_{1}\\\Rightarrow m_2v_2=120\times 14+m_2\times 0-(120\times -2)\\\Rightarrow m_2v_2=1920\\\Rightarrow m_2=\frac{1920}{v_2}

Applying in the next equation

v_2=\frac{2m_1}{m_1+m_2}u_{1}+\frac{m_2-m_1}{m_1+m_2}u_2\\\Rightarrow v_2=\frac{2\times 120}{120+\frac{1920}{v_2}}\times 14+\frac{m_2-m_1}{m_1+m_2}\times 0\\\Rightarrow \left(120+\frac{1920}{v_2}\right)v_2=3360\\\Rightarrow 120v_2+1920=3360\\\Rightarrow v_2=\frac{3360-1920}{120}\\\Rightarrow v_2=12\ m/s

m_2=\frac{1920}{v_2}\\\Rightarrow m_2=\frac{1920}{12}\\\Rightarrow m_2=160\ kg

Mass of second car = 160 kg

Velocity of second car = 12 m/s

5 0
4 years ago
Julio blows air across his hot bowl of soup. The tiny ripples he creates are similar to _____.
Allushta [10]

The tiny ripples on the soup are not only similar to wind-generated
waves ... they ARE wind-generated waves.  This is a big part of the
reason why they bear such an uncanny resemblance.

8 0
4 years ago
Read 2 more answers
Discuss why Wolpert says we have a brain.
ycow [4]

Answer:

“We have a brain for one reason and one reason only, and that's to produce adaptable and complex movements,” stated Wolpert, Director of the Computational and Biological Learning Lab at the University of Cambridge. ... The evidence for this is in how well we've learned to mimic our movements using computers and robots.

8 0
3 years ago
Read 2 more answers
What can we say about Gamma waves on<br> the electromagnetic spectrum?
sladkih [1.3K]

Answer: Gamma-rays have the smallest wavelengths and the most energy of any other wave in the electromagnetic spectrum. These waves are generated by radioactive atoms and in nuclear explosions. Gamma-rays can kill living cells, a fact which medicine uses to its advantage, using gamma-rays to kill cancerous cells.

Explanation: :)

6 0
2 years ago
Which statement about the minerals plagioclase feldspar, gypsum, biotite mica, and talc can best be inferred from the chart? (1)
madreJ [45]

Answer:

(4) The physical and chemical properties of these minerals determine how humans use them.

Explanation:

All the materials and the metals found on earth shows certain characteristics naturally or in their physical state. These physical characteristics can be their look, their structure, their color, strength, melting point, boiling point, density, etc.

And chemical properties of the metals are defined as those characteristics or features of the metals that it exhibits when these metals reacts chemically.

The physical properties as well as the chemical properties distinguishes each metal from each other. These properties determines how people use these metals in their life.

7 0
3 years ago
Other questions:
  • What are two things that the amount of gravitational force between two object depends on
    9·2 answers
  • PLEASE HELP
    11·1 answer
  • Please help with vectors (will give BRAINLIEST answer)
    7·1 answer
  • Which of the following events happens first in the development of a new organism? A. A sperm fertilizes an egg to form a zygote.
    9·2 answers
  • Three forces act on a moving object. One force has a magnitude of 83.7 N and is directed due north. Another has a magnitude of 5
    5·1 answer
  • A large sheet of charge has a uniform charge density of 9  μCm2. What is the electric field due to this charge at a point just
    6·1 answer
  • 2 Points
    13·2 answers
  • A block slides on a frictionless, horizontal surface with a speed of 1.32 m/s. The block encounters an unstretched spring and co
    14·1 answer
  • Homework: What happens when you kick the bottom of the ball in soccer?​
    15·2 answers
  • Help me <img src="https://tex.z-dn.net/?f=%5Chuge%5Cmathcal%5Cred%7B%7D" id="TexFormula1" title="\huge\mathcal\red{}" alt="\huge
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!