When a car is moving at x miles per hour and the driver decides to slam on the brakes, the car will travel x + 1/20 x2 feet. (The general formula is f (x) = ax + bx2, where the constant a depends on the driver’s reaction time and theconstant b depends on the weight of the car and the type of tires.) If a car travels 175 feet after the driver decides to stop, how fast was the car moving? (Source: Applying Mathematics: A Course in Mathematical Modelling.)

When a car is moving at x miles per hour and the driver decides to slam on the brakes, the car will travel x + 1/20 x2 feet. (The general formula is f (x) = ax + bx2, where the constant a depends on the driver’s reaction time and theconstant b depends on the weight of the car and the type of tires.) If a car travels 175 feet after the driver decides to stop, how fast was the car moving? (Source: Applying Mathematics: A Course in Mathematical Modelling.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 51P: A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four...

See similar textbooks

Similar questions

A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At the end of the walk, what is the persons resultant displacement measured from the starting point? Figure P1.51
Calculate the result for each of the following cases using the correct number of significant figures. a. 3.07670 10.988 b. 1.0093 105 9.98 104 c. 5.44231064.008103
The acceleration of a race car as a function of time is a(t) = kt, where a is measured in meters per second squared, t is measured in seconds and k is a constant. If its velocity at t = 0 is 2 m/s, and it is 26 m/s at t = 2 s, what is the value of the constant, k? * O 12 m/s^3 O 12 m/s^2 24 m/s^3 13 m/s^3
The typical American man has a leg length of 0.85 m and walks at a speed of 1.4 m/s. A giraffe’s legs are 1.8 m long. At what speed do you expect a giraffe to walk? Hint: An animal’s speed is proportional to the length of its legs times the frequency of its strides.
A car’s speed is 65 km/hour, What is this speed is the unit of “m/s”? Question 2 options: 12 m/s 65 m/s 1.1 m/s 18 m/s
You want to convert the speed km/h into m/s for a physics problem. Which of the following could act as the correct conversion factor? (units not shown) O 1000/3600 O 1000 O 3600/1000 O (1/3600)
The van travels over the hill described by y=(-1.5x10 ')x²+15) ft. If it has a constant speed of 71 ft/s, determine the x component of the van's velocity when x = 50 ft. y= (-1,5(10- + 15) ft 15 ft 100 t
The velocity of a particle moving along the x-axis is defined by V= kx3 – 4x2 +6x, where V is in m/sec., x is in meters, and k is a constant. If K=1 Compute the value of the acceleration after x= 2 meters.
You're checking your car's speedometer. With cruise control engaged, the speedometer reads a constant 60mi/h. (a) Using highway mileposts, you clock 4 min,45 s to go 5 m. If the mileposts are accurate, what's the error in your speedometer reading? (b) How much time should you take to cover each mile if your true speed is 65mi/h?
After an accident, police can estimate the speed that a car was traveling by measuring its skid marks. The formula v=2 √5L can be used where v is the speed, in miles per hour, and L is the length of the skid marks, in feet. (a) Estimate the speed of a car that left skid marks 180 ft long. (b) If the posted speed limit is 50 mph should the police officer believe the driver's claim that he was not speeding?
The following conversion equivalents are given: 1 mile = 5280 ft 1 ft=12 in 1 m = 39.37 in 1 hour = 60 min 1 min = 60 s A particle has a velocity of 4.7 miles per hour. The velocity, in m/s, is closest to: 1.5 2.3 2.1 1.9