An object starting from rest moves on a straight road for time t and comes to rest finally. The distant is converted in two parts. In first part it is accelerated at constant acceleration X and then deaccelerated at rate Y.Then what is the maximum vvelocit ?

Question

Answer

Explanation of the problem

Given, an object starting from rest moves on a straight road for time t and comes to rest finally. The distance is converted into two parts. In the first part, it is accelerated at constant acceleration X and then deaccelerated at rate Y.

Finding the maximum velocity

The maximum velocity can be found using the following steps:

Let the distance covered in the first part be d1 and the distance covered in the second part be d2.

Using the first equation of motion, we can find the velocity after the first part of the motion:

v = u + at

v = 0 + Xt

v = Xt

Using the third equation of motion, we can find the time taken to cover the first part of the motion:

s = ut + 1/2 at^2

d1 = 0 + 1/2 X t^2

t^2 = 2d1/X

t = sqrt(2d1/X)

Using the second equation of motion, we can find the final velocity after the second part of the motion:

v^2 = u^2 + 2as

v^2 = 0 + 2Yd2

v = sqrt(2Yd2)

Using the fourth equation of motion, we can find the time taken to cover the second part of the motion:

s = ut + 1/2 at^2

d2 = 0 + 1/2 Y t^2

t^2 = 2d2/Y

t = sqrt(2d2/Y)

The total time taken for the motion is:

total time = time taken in first part + time taken in second part

total time = sqrt(2d1/X) + sqrt(2d2/Y)

Therefore, the maximum velocity is:

maximum velocity = distance/time

maximum velocity = (d1 + d2)/(sqrt(2d1/X) + sqrt(2d2/Y))

Thus, the maximum velocity can be found using the above steps.

Answer

One is the answer of your questions

Similar Class 10 Doubts

Two men standing close to a long straight metal pipe and at some distance from each other . One man fires a gun and the other hears two explosions ,with a time interval of one second between them . If the velocity of sound in metal is 3630m/s and in aur is 330 m/s , the distance between two men is ?

I went 15 m to the north, then I turned west and covered 10 m, then turned south and covered 5 m, and then turned east and covered 10m. In which direction am I from the starting point?

Dinesh starts walking straight towards the east. After walking 75 meters, he turns to the left and walks 25 meters straight. Again he turns to the left walks a distance of 40 meters straight, again he turns to the left and walks a distance of 25 meters. How far is he from the starting point?

Top Courses for Class 10View all

Science Class 10

Social Studies (SST) Class 10

Mathematics (Maths) Class 10

English Grammar Advanced

English Grammar Basic

Top Courses for Class 10

Top Courses for Class 10

Suggested Free Tests

Related Content

About Class 10

Class 10 Study Material

Class 10 All Subjects

NCERT Textbook Solutions

Other Classes

Important Links

Company