The position of a particle moving along the x axis is given in centimeters by x=9.75+1.50t³, where t is in seconds. Calculate(a)
the average velocity during the time interval t=2.00 s to t=3.00 s(b) the instantaneous velocity at t=2.00 s(c)the instantaneous velocity at t=3.00 s(d)the instantaneous velocity at t=2.50 s(e)the instantaneous velocity when the particle is midway between its positions at t=2.00 s and t=3.00 s.(f) graph it
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The change in potential energy of an object is given by
where
m is the mass of the object
g is the gravitational acceleration
is the increase in altitude of the object
In our problem,
is the mass of the book, 
and
is the increase in altitude of the book, so its variation of potential energy is
where
m is the mass of the object
g is the gravitational acceleration
In our problem,