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A particle with mass m = 2:5 is moving along a straight trajectory. The distance covered by a particle is described by the function S(t) = t3 + 2t2 ,
where t > 0 is the time.
(a) Kinetic energy E of a particle is given by E = mv2/ 2 , where v is the particle speed. Find a function that describes the kinetic energy of this particle.
(b) Find kinetic energy of the particle at time t = 5.
(c) What is the distance covered by the particle by time t = 6?
(d) Find approximate value of time t when the speed of the particle is 24.
(e) Find a function that describes the acceleration of this particle.
(f) Find the acceleration of the particle at t = 8.
(g) Find the time when the acceleration of the particle is 20.
Calculate the heat required to melt 316.7kg of potassium metal at 336 K. The enthalpy of fusion of potassium is 2.35 kJ mol -1 .
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define
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