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The cheetah can run as fast as v1 = 100 The cheetah can run as fast as v1 = 100 km/h, the falcon can fly as fast as v2 = 250 km/h, and the sailfish can swim as fast as v3 = 120 km/ h. The three of them run a relay with each covering […]

Starting at one station, a subway train accelerates from rest Starting at one station, a subway train accelerates from rest at a constant rate of 1.0 m/s2 for half the distance to the next station, then slows down at the same rate for the second half of the journey. The total distance between stations is […]

The catapult of the aircraft carrier USS The catapult of the aircraft carrier USS Abraham Lincoln accelerates an F/A-18 Hornet jet fighter from rest to a takeoff speed of 173 mi/h in a distance of 307 ft. Assume constant acceleration. (a) Calculate the acceleration of the fighter in m/s2. (b) Calculate the time required for […]

The acceleration of a certain rocket is given by a The acceleration of a certain rocket is given by a = Ct, where C is a constant. (a) Find the general position function x(t). (b) Find the position and velocity at t = 5s if x = 0 and v = 0 at t = […]

The brakes on your car can slow you at a The brakes on your car can slow you at a rate of 5.2m/s2. (a) If you are going 137 km/h and suddenly see a state trooper, what is the minimum time in which you can get your car under the 90 km/h speed limit? (The […]

The average velocity of a particle moving The average velocity of a particle moving in one dimension has a positive value. Is it possible for the instantaneous velocity to have been negative at any time in the interval? Suppose the particle started at the origin x ! 0. If its average velocity is positive, could […]

The acceleration of a particle The acceleration of a particle is given by ax (a) Find the initial velocity vax such that the particle will have the same x-coordinate at t = 4.00 s as it had at t = O. (b) What will be the velocity at t = 4.00 s? Is this the […]

Suppose the two runners in Exercise 2.5 Suppose the two runners in Exercise 2.5 start at the same time from the same place but run in the same direction. (a) When will the fast one first overtake (“lap”) the slower one, and how far from the starting point will each have run? (b) When will […]

Peter, Paul, Mary, John Peter, Paul, Mary, John and Martha are members of the pastoral council at a local church. They are to be seated at one side of a long conference table in a pastoral council meeting. a)How many possible ways can these 5 council members be seated? b)How many possible sitting arrangements are […]

An experiment compares three treatment 1. An experiment compares three treatment conditions with a separate sample of n = 10 in each treatment. If the data are analyzed with ANOVA, the analysis would have dftotal = _____. 2.Estimation with the independent-measures t statistic is used to determine how much difference there is between two treatment […]