Calculating the intersection point between two projectiles.

A projectile is fired vertically upwards at 40m/s for 3 seconds. After 3 seconds a second projectile is fired vertically upwards at 60m/s. At what time and position will they pass each other?

Relating distance to speed using dimensional analysis

Step 1: A 240 horsepower car beginning at a stop goes 1/10 of a mile. At optimum performance, what is the maximum speed in miles per hour the car can reach? Feet per minute? Step 2: How many feet have been traveled in a 240 horsepower car when the speed reaches 35 MPH at optimum performance? what fraction of a mile is that dist ...continues

Relating Distance to Speed : Conversion Problems

STEP1: A 240 horsepower car that weighs 4300 lbs beginning at a stop travels 1/10 of a mile. At optimum performance, what is the maximum speed in MILES per HOUR the car can reach? What is the speed in Mi/Hr at 1/15 of a mile? STEP2: In the same car, how many FEET have been traveled (at max performance) when the car reaches th ...continues

Calculate: a) the maximum possible distance that the car could have travelled, b) the minimum distance the car could have travelled

A car travels at a constant speed of 70km per hour for a time of 2 hours and 45 minutes. Its speed is quoted to the nearest km/h and the time is quoted to the nearest minute. Calculate: a) the maximum possible distance that the car could have travelled b) the minimum distance the car could have travelled

Forecasting & Regression (12 Problems) : Hypothesis Testing and 2- and 3-Parameter Exponential Smoothing

On multiple choice, check any appropriate answers. For any hypothesis tests, use a .05 level of significance. Barrel temp. (in oF) Mold temp. (in oF) Injection pres. (in psi) Strength (psi) 320 100 7000 3877 320 100 5000 3901 320 100 3000 4010 320 125 7000 3706 320 125 5000 3708 320 125 3000 4140 320 150 7000 ...continues

Quantitative Methods : Probability and Break-Even Points

1. Administrators at a university will charge students $200 to attend a seminar. It costs $3000 to reserve a room, hire an instructor, and bring in the equipment. Assume it costs $35 per student for the administrators to provide the course materials. How many students (whole numbers) would have to register for the seminar for th ...continues

A block suspended above the ground by a light rope wrapped around a pulley wheel, is released allowing it to rotate freely, letting the block fall to the ground. To determine the rotational speed, speed, time to reach the ground.

A 2 Kg block is suspended 5 m above the ground by a light rope wrapped around a 3 kg solid pulley wheel, as shown in figure. The pulley wheel, which was initially at rest, is then released allowing it to rotate freely, letting the block fall to the ground. Ignoring friction effects the rope mass: (a) Briefly state where, a ...continues

Unbounded Self Adjoint Operator.

Let H be the unbounded self-adjoint operator defined by -d^2/dx^2 (the negative of the second derivative with respect to x) on: D(H) ={f element of L^2 | Integral( |s^2 F f(s)|^2 )ds element of L^2} Where "F" denotes the Fourier Transform. Question: For the state vector h(x) = 1/sqrt(2) if x is in [0,2] ...continues

Problems on Business Math including Forecasting, Exponential smoothing, decision analysis, Normal distribution are included in this posting.

1. A food distributor carries 64 varieties of salad dressing. Appleton Markets stocks 48 of these flavors. Beacon Stores carries 32 of them. The probability that a flavor will be carried by Appleton or Beacon is 15/16. Find the probability a flavor is carried by both Appleton and Beacon. 2. The time it takes to travel fro ...continues

PERT/CPM - Markov Process.

PERT/CPM - Markov Process. See attached file for full problem description.