The velocity of an object is changing with time and relation is given by following equation v=2t+3t(square) calculate the position of object from the origin at t=2s assume particle to be at origin t=0?

Question

Answer

Calculation of position of object from the origin

Given Parameters

Initial position of the particle is at the origin

The velocity of the particle changes with time and is given by v = 2t + 3t²

The time is given as t = 2s

Calculation of position of the particle

To calculate the position of the particle at t = 2s, we need to integrate the velocity function. The integration of the given velocity function is:

s = ∫vdt = ∫(2t + 3t²)dt = (2t²/2) + (3t³/3) + C

where C is the constant of integration.

At t = 0, the initial position of the particle is at the origin. Therefore, we can find the value of C using this condition.

s = (2t²/2) + (3t³/3) + C

At t = 0, s = 0

Therefore, C = 0

Substituting the value of C in the equation for position, we get:

s = (2t²/2) + (3t³/3)

At t = 2s, the position of the particle is:

s = (2(2)²/2) + (3(2)³/3) = 8 + 16 = 24m

Conclusion

Therefore, the position of the particle from the origin at t = 2s is 24m.

Answer

D{2t+3t}^2 /dv = 50 x t = when t=2 then position is 100 =when t=0 then position would be 0 or at rest.

Answer

Answer

X=(integration)v.dt
x=(integration)2t+3t^2.dt
x=2t^2/2+3t^3/3
x=t^2+t^3
x=4+8=12

Similar Class 11 Doubts

A bullet of mass m moving with a velocity v strikes a hanging block of mass M and sticks to it. If the block rise to a height h.Then what is the initial velocity of the bullet?

The mass of the liquid flowing per second per unit area of cross section of the tube is proportional to (pressure difference across the ends )n and (average velocity )m of the liquid which of one of the following relation is correct?

A pipe line 0.2m in diameter flowing full of water has a construction of diameter 0.1m.if the velocity in the 0.2m pipe line in 2m/s calculate 1.the velocity in the construction? and 2.the discharge rate in cubic metre per second?

How to calculate the relative velocity of two bodies

Explain in detail about changing trends in physical education Related: Short and Long Questions with answers, Changing trends & Career in Physical education

Top Courses for Class 11View all

Chemistry Class 11

CUET Mock Test Series

English Class 11

Chemistry Practice Tests: CUET Preparation

CUET Mock Test: Humanities Subjects 2025

Top Courses for Class 11

Top Courses for Class 11

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams