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
den301095 [7]
2 years ago
5

The following equation shows the position of a particle in time t, x=at2i + btj where t is in second and x is in meter. A=2m/s2,

b=1m/s. Find
A, the average velocity of the particle in the time interval t1=2sec and t2=3sec
B, the velocity and acceleration at any time t.
C, the average acceleration in the time interval given in part (a)
Physics
1 answer:
sattari [20]2 years ago
5 0

(a) The average velocity of the particle in the time interval t₁=2sec and t₂=3sec is 10 m/s.

(b) The velocity and acceleration at any time t is v =  (2ati + bj) m/s and a = 2ai m/s²

(c)  The average acceleration in the time interval given in part (a)​ is 4 m/s².

<h3>Position of the particle</h3>

x = at²i + btj

x = 2t²i + tj

<h3>Average velocity, at t₁=2sec and t₂=3sec</h3>

Δv = Δx/Δt

x(2) = 2(2)²i + 2j

x(2) = 8i + 2j

|x(2)| = √(8² + 2²) = 8.246

x(3) =  2(3)²i + 3j

x(3) = 18i + 3j

|x(3)| = √(18² + 3²) = 18.248

Δv = (18.248 - 8.246)/(3 - 2)

Δv =  10 m/s

<h3>Velocity and acceleration at any time, t</h3>

x = at²i + btj

v = dx/dt

v =  (2ati + bj) m/s

a = dv/dt

a = 2ai m/s²

<h3>Average acceleration</h3>

a = 2ai m/s²

a = 2(2)(1)

a = 4 m/s²

Learn more about average acceleration here: brainly.com/question/104491

#SPJ1

You might be interested in
What does the measurement unit N stand for?
bonufazy [111]

Explanation:

The newton (symbol: N) is the International System of Units (SI) derived unit of force.

3 0
3 years ago
Read 2 more answers
Two sides of a parallelogram are in the ratio 5 : 3. If its perimeter is 64 cm, find the lengths of its sides.​
Xelga [282]

Answer: 32

Explanation:

4 0
3 years ago
It feels better to catch a hard ball while wearing a padded glove than to catch it bare handed. use the ideas of momentum and im
Nadya [2.5K]

Answer:

Let's say the pitcher is angry or just has a really heavy hand while throwing this ball, and now you have to catch it, otherwise it's going to ram into your face. When you put your hands up just in time to catch this ball, this is called impulse, or commonly expressed as a reflex. Depending on what kind of ball is being thrown, such as a golf ball, baseball, basketball, beach-ball, rubber-ball, baseball, etc. ... the weight of the ball itself is going to impact how much it i going to hurt when you catch it without any hand protection. However, if you're catching, let's say a baseball, with a padded glove, it is not going to hurt as bad as catching the baseball bare handed, because the padded glove has enough padding in it to create a barrier between the skin of your hand and the palm of the glove.

8 0
4 years ago
How many different values of ml are possible in the 5d sublevel?
m_a_m_a [10]
<span>There are 5 different values of ml in the 5d sublevel (-2, -1, 0, 1, and 2).</span>
4 0
3 years ago
1.
ale4655 [162]

Answer:

5.0 atm

Explanation:

P₁V₁=P₂V₂

P₁V₁/V₂=P₂

(1)(2.5)/(0•50)=P₂

P₂=5

Pressure is now 5.0 atm

8 0
3 years ago
Other questions:
  • A proton is located at the point (x = 1.0 nm, y = 0.0 nm) and an electron is located at the point (x = 0.0 nm, y = 4.0 nm). Find
    8·1 answer
  • The sound intensity level from one solo flute is 70 dB. If 10 flutists standing close together play in unison, what will the sou
    15·1 answer
  • Which of the following do waves carry?
    15·1 answer
  • If the force applied to an object is
    15·1 answer
  • Find the refractive index of a medium<br> having a velocity of 1.5 x 10^8*
    8·1 answer
  • Manita carries a box of mass 40 kg.what is the weight<br>​
    10·1 answer
  • What is this question
    8·2 answers
  • How much work can be done by a 20 W motor in 5 seconds?
    8·1 answer
  • What is the answer??
    10·1 answer
  • What is a scientific theory is and under what conditions a theory may be revised?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!