Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'(t) is its velocity, and x''(t) is its acceleration. a particle moves along the x-axis at a velocity of v(t) = 5/√t, t > 0. at time t = 1, its position is x = 12. find the acceleration and position functions for the particle.

We know that the acceleration of the particle is defined as

Since it is given that

Now by definition of velocity we have

Integrating on both sides we get

Applying values we get

To find the constant we note that at t=1 the particle is at x=12 Thus applying values in the above equation we get

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

-with the above experiment, the first geothermal plant in usa started in 1922 with a capacity of 250 kilowatts

-however, in 1946 first ground-source geothermal heat pump installed at commonwealth building in portland, oregon

-during the 1960’s, pacific gas and electric began operation of first large scale geothermal power plant in san francisco, producing 11 megawatts

-in 1973, when oil crisis began many countries began looking for renewable energy sources and by 1980’s geothermal heat pumps (ghp) started gaining popularity in order to reduce heating and cooling costs

-as effect of climate change started showing results, governments of various countries joined hands to fight against it, for which kyoto protocol was signed in japan in 1997, laid out emission targets for rich countries and required that they transfer funds and technology to developing countries, 184 countries have ratified it

hope this

force required to detach it is given by

charges are taken to be fundamental charge

now we have

so above is the minimum distance at which it will detach