4. Suppose you take a one hour car ride, and this is the graph of your...
Suppose you just got onto a road, whose length is 10 miles. At each of the 10 mile-markers on the road (namely, at the end of mile 1, end of mile 2,. . . , end of mile 10 of the road), there is a 20% probability of there being a police car trying to catch speeders, independently for each mile. You proceed as follows. Until you see your first police officer, you drive at 60 miles per hour. After...
A ride-sharing car moving along a straight section of road starts from rest, accelerating at 2.00 m/s2 until it reaches a speed of 32.0 m/s. Then the vehicle moves for 41.0 s at constant speed until the brakes are applied, stopping the vehicle in a uniform manner in an additional 5.00 s. (a) How long is the ride-sharing car in motion (in s)? 62 (b) What is the average velocity of the ride-sharing car for the motion described? (Enter the...
1) Starting in Albany, you travel a distance 461 miles in a direction 19.4 degrees north of west. Then, from this new position, you travel another distance 132 miles in a direction 10.2 degrees north of east. In your final position, what is your displacement from Albany? 2) You start out by driving 119 miles north in 3 hours and 41 minutes, and then you stop and park for a while. Finally you drive another 88 miles south in 4...
You get on your bicycle and ride it with a constant acceleration of 0.5 m/s2 for 20s. After that, you continue riding at a constant velocity for a distance of 200 m. Finally, you slow to a stop, with a constant acceleration over a distance of 20 m 350 300 250 x (m) 200 150 100 50 10 30 t (s) 10 v (m/s) 10 10 a (m/s2) (a) How far did you travel while you were accelerating at 0.5...
To measure the speed of a car, we use miles per hour (miles/hour or mi/h or mph). To measure the rate of a reaction we use molar concentration per second (M/s). 1- Imagine that you took a road trip. Based on the information in the table, what was the average speed of your car? time mile marker 3pm 24 8pm 169 2- What is the average rate of formation of I2? H2+2IF→2HF+I2 Time (s) I2 concentration (M) 5 1.10 15...
How fast should you travel during the first 1.2 hours of a 4.2 hour trip if you can average only 65 mph during the last 3.0 hours and must cover a total distance of 306 miles?
You are driving your car at a constant speed of 60 miles per hour. What is the speed (in miles per hour) of a point at the very top of your tire? The radius of your tires is 1 ft. what is the speed (in miles per hour) of a point at the very bottom of your tire in contact with the road?
The velocity of truck (in miles per hour) is given by v(t) = 4(t)^3/2 + 4/t - 3, where t is in hours. a. Write a definite integral for the distance the car travels between t = 1 and t = 3. b. Sketch a graph of velocity against time and present the distance traveled during t = 1 and t = 3 hours as an area on your graph. c. Use Fundamental Theorem of Calculus to find this distance.
Material: Rational Functions Between the speed of 50 miles/hour and 70 miles/hour, your gas mileage is a linear function of the speed at which you drive. Your car gets 40 miles/gal at a speed of 50 miles/hr and 30 miles/gal at a speed of 70 miles/hr. During a one-hour time period, your speed increases from 50 miles/hour to 70 miles/hour at a constant rate. How many gallons of gas does your car burn during this period? First, determine the number...
You start out by driving 185 miles north in 4 hours and 28 minutes, and then you stop and park for a while. Finally you drive another 142 miles north in 2 hours and 35 minutes. The average velocity for your entire trip was 37.11 miles per hour. How much time did you spend parked? a. 0hr and 52min b. 8hr and 48min c. 1hr 45min d. 3hr 31min