The position function of a freight train is given by

s(t)=75.5(t+1)^2

with s in meters and t in seconds. At time t = 17.7 seconds, find the train's velocity and acceleration.

a.velocity is -0.0012 metres/second, acceleration is 0.0002 metres/(seconds squared)

b.velocity is -0.0231 metres/second, acceleration is -0.0037 metres/(seconds squared)

c.velocity is -0.4318 metres/second, acceleration is 0.0693 metres/(seconds squared)

d.velocity is 0.0115 metres/second, acceleration is 0.0006 metres/(seconds squared)

e.velocity is -0.0231 metres/second, acceleration is 0.0037 metres/(seconds squared)

f.velocity is -0.0272 metres/second, acceleration is 0.0046 metres/(seconds squared)

2. In thermodynamics, theVan der Waal's equation relates the mean pressure, p, of a substance toits molar volume v at some temperature T as follows:

(P+v27)(v2.1)=RT

Chemists are interested in the curves, called isotherms,described by this equation when the temperature is held xed, and R is a constant. What is the value of

dp/dv

when p = 5.2 and v = 1.5?

a.14.148148

b.18.518519

c.4.888889

d.18.000000

e.1.839506

f.61.101852