Concept explainers
A group of hikers uses a GPS while doing a 40-mile trek in Colorado. A curve fit to the data shows that their altitude can be approximated by the function
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Vector Mechanics For Engineers
- 2 Your friend is planning to ride his bike up a ramp and land on the roof of a building as shown below. The building is 6.00 m high and 8.00 m away from the ramp. The ramp is 3.00 m wide and 4.00 m tall. 4.00 m 1 ← 3.00 m 6.00 m 8.00 m A. What is the minimum speed with which your friend needs to leave the ramp in order to land on the building? B. Another friend is going to use his motorized scooter for the same stunt. The maximum speed of the scooter is 15.0 m/s. How close to the building should you move the ramp so that your friend lands on the roof right at the front edge of the building?arrow_forwardq9 A car left skidded along a road for 160 m. Assuming that the car skidded to a stop with a constant acceleration of -6 m/s^2, determine the speed of the car in km/h (to one decimal place) before it began to skid.arrow_forwardA bicycle moves along a straight road such that its speed is described by the continuous function f(t). You are asked to determine the magnitude of the displacement of the bicycle between 5.1 and 21 seconds. To do this, you must solve the integral below. What should the bounds on the integral be? Write your answer to one decimal place. As - fo f(t)dt a = Number b = Number seconds secondsarrow_forward
- When an appliance whose power usage is X watts is run for Y seconds, it uses X x Y joules of energy. The energy unit used by electrical utilities in their monthly bills is the kilowatt-hour(kWh, that is,1 kilowatt is used for 1 hour.) How many joules are there in a kilowatt-hour? If electricity costs $0.09 per kilowatt-hour, how much does it cost per megajoule?arrow_forwardDuring a short interval of time, the speed v (in m/s) of a motorcycle is given by the following equation: v=at² + bt³ Assuming time t is expressed in seconds, what are the units of a and b, respectively? O O s³ and b a = m and b = and b= a = m. a= a= 927 and b none of these = m² m 34 m. 8²arrow_forwardA motorcycle starts from rest at s = 0 and travels along a straight road with the speed shown by the v –t graph. (Figure 1) Determine the motorcycle's acceleration when t = 12 s Express your answer to three significant figures and include the appropriate units. HA ? m a = 0,25 Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Figure Part D Determine the motorcycle's position when t = 12 s. Express your answer to three significant figures and include the appropriate units. v (m/s) s = 48.0 m v = 1.25 5 む=5 Submit Previous Answers v = -1+ 15 v Correct t (s) 10 15 Provide Feedback Next >arrow_forward
- A motorcycle starts from rest at s = 0 and travels along a straight road with the speed shown by the e-t graph. (Eigure 1) Part B Determine the motorcycle's position when t = 9 s Express your answer to three significant figures and include the appropriate units. s= 35.0 m Submit Previous Answers v Correct Part C Determine the motorcycle's acceleration when t- 12 s Express your answer to three significant figures and include the appropriate units. Value Units a- Submit Request Answer • Part D Figure 1 of 1> Determine the motorcycle's pos when t 12s Express your answer to three significant figures and include the appropriate units. (m/) 12 5 Value Units -+15 Submit Reauest Answer 10 15arrow_forwardAn airplane flying at an altitude of 5 kilometers passes directly over a radar antenna. When the airplane is 10 kilometers away (s = 10), the radar detects that the distance s is changing at a rate of 410 kilometers per hour. What is the speed of the airplane? (Round your answer to two decimal places.) km/h 5 km. Not drawn to scale Submit Answer P Type here to search 1:06 PM 29°C 11-Oct-21 (7 12/A prt sc delete 4 6 7 8. backspace tab Q W R T Y U enter caps lock A S D F J K shift& fn Z C V pgup shift EDTLER fn + esc alt ctrl home pgd end ctrl fn alt SOUND BY harman ka (intel CORE 15 ותי)תה P.arrow_forwardA car travels along the North Luzon Expressway with a constant speed of 45 kph, To avoid getting penalized of under-speeding, it accelerates at 8 m/s?, Determine the time, in s, that it takes to reach the minimum speed limit of 80 kph. Also determine the distance travelled by the car while accelerating. If it stops to pay at a tollgate, determine the deceleration, in m/s?, of the car in 10s Also determine the distance travelled by the car while decelerating hellooo urgent pls helppparrow_forward
- An airplane flying at an altitude of 5 kilometers passes directly over a radar antenna. When the airplane is 10 kilometers away (s = 10), the radar detects that the distance s is changing at a rate of 410 kilometers per hour. What is the speed of the airplane? (Round your answer to two decimal places.) km/h 5 km Not drawn to scale Submit Answer P Type here to search 1:16 PM 29°C 11-Oct-21 esc 17 no2 12/A prt sc delete 96 21 4. 6. 7. 8. 9. backspace fab Y. P. enter caps lock K shift O B shift fn POU ex ctrl fn alt alt crl pgda harman kardor 3.arrow_forwardComplete using the appropriate gravitational constants from the table that follows. In each exercise you may ignore wind resistance. g in m/sec2 g in ft/sec2 Earth 9.8 32 Moon 1.6 5.2 Mars 3.7 12.1 Jupiter 24.8 81 There is considerable controversy surrounding who hitthe longest home run in professional baseball. However,any ball that travels 500 feet in the air is considered “monumental.”Assuming that a hitter contacts a ball 4 feetfrom the ground and that the ball leaves the bat with a 45◦angle of elevation and subsequently travels a horizontaldistance of 500 feet, answer the following questions:(a) How fast is the speed of the ball right after contact?(b) What is the maximum height reached by the ball?(c) How long does the ball spend in the air after beinghit?(d) On May 22, 1963, Mickey Mantle, playing for theNew York Yankees, hit a home run that struck a point on the fac¸ade of the right-field roof of the old YankeeStadium approximately 115 feet high and 370 feetfrom…arrow_forwardThe graph represents the straight line motion of a car. How far does the car travel between t = 2 seconds and t = 5 seconds? v(mk) 12 4 m 12 m 24 m 36 m 60 marrow_forward
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