Question Solved1 Answer The acceleration of a particle is defined by the relation a = -3t (m/s) Knowing that X = 12 m, and v = 5 m/s when t = 0, determine the total distance travelled (in meters) by the particle at time t = 4 s.

A heat engine operating between two reservoirs at 100 K and 300 K is used to drive heat pump which extracts heat from the reservoir at 300 K at a rate twice that at which engine rejects heat to it. If the efficiency of the engine is 40 % of the maximum possible and the co efficient of performance of heat pump is 50 % of the maximum possible, make calculations for the temperature of the reservoir to which the heat pump rejects heat. Also work out the rate of heat rejection from the heat pump if the rate of supply of heat to the engine is 50 kW.

A Tim Horton's has recently opened up in Edmonton. It is observed that, on any given morning, the time it takes for a car to be served after ordering in the drive-thru follows a normal distribution with = 8 minutes and a = 2.5 minutes. (a) What is the probability that it takes less than 5.5 minutes for a randomly selected car to be served after ordering? (Round your answer to four decimal places, if needed.) (b) What is the probability that it takes more than 70 minutes for a randomly selected car to be served after ordering? (Round your answer to four decimal places, if needed.) Find the area under the standard normal distribution represented by each probability. (Round your answers to 4 decimal places.) (a) PIZ < -0.56) (b) P(Z > 1.07): (c) P(0.51 < Z < 1.6): (d) PIZ = 1,87): Check

Q.17: Heat in the amount of 7.5 kJ is added to a closed system while its internal energy decreases by 12 kJ. How much energy is transferred as work? For a process causing the same change of state but for which the work is zero, how much heat is transferred?

Blue Spruce Corp. has decided to expand its operations. The bookkeeper recently completed the following statement of financial position in order to obtain additional funds for expansion:obligation is considered a long-term liability. (List Current Assets in order of liquidity. List Property, Plant and Equipment in order of Buildings, and Equipment.)

(15 points): Consider (again) the complex function G: C+C defined by 8 +2 G(8) 32 +63 + 18 (a) By hand, draw a pole-zero map of G (i.e., in the complex plane, draw a "o" to indicate points where G evaluates to zero and an "x" to indicate points where the magnitude of G tends to infinity).

The problem is Customers arrive at a tool crib according to a Poisson process of rate $\lambda = 5$ per hour. There is a single tool crib employee, and the individual service times are exponentially distributed with a mean service time of 10 minutes. In the long run, what is the probability that two or more workers are at the tool crib being served or waiting to be served? It is given that $\lambda = 5$, and I believe that $\mu = 6$ customers per hour. Then, I think the answer is $$1-\frac{1}{6}-\frac{1}{6}\left(\frac{5}{6}\right)-\frac{1}{6}\left(\frac{5}{6}\right)^2 = \frac{125}{216}.$$ However, the answer in the back is $\frac{25}{36}$. I was wondering what I did wrong. Or is the answer in the back wrong? Thanks.