4. In velocity versus time graph, what does the slope of the lin represents: a. The average velocity. b. The average speed. c. The average acceleration. d. The instantaneous velocity. e. The instantaneous velocity. Explain your reasoning:
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Velocity versus Time Graph: This graph represents the velocity as a function of time. The slope of this graph at any instant of time gives its acceleration at that moment. And the area under the curve gives the net displacement.
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- 6. Freight trains can produce only relatively small accelerations. a. What is the final velocity of a freight train that accelerates at a rate of 0.0450 m/s? for 7.00 min, starting with an initial velocity of 4.50 m/s? b. If the train can slow down at a rate of 0.500 m/s?, how long will it take to come to a stop from this velocity? c. How far will it travel in each case? 7. Calculate the displacement and velocity at times listed below for a ball thrown straight up with an initial velocity of 17.0 m/s. Take the point of release to be yo=0. a. 0.500 s b. 1.00 s c. 1.50 s d. 2.00 sA stone is thrown straight up from the edge of a roof, 950 feet above the ground, at a speed of 10 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 3 seconds later? 836 B. At what time does the stone hit the ground? -7.4 C. What is the velocity of the stone when it hits the ground? 70.24 ft syntax incomplete. US esc Cc & 6 7 081 5 %# 3Help
- A. using your measured distance (35 inches) your average time of motion (drop times 2.04s,1.78,2.26,1.59,1.87 and 1.91)and the constant acceleration equation (x=1/2 at^2)calculate the acceration of the atwood machine. B. using m2-m2/m1+m2(9.8)=20/40=0.5x9.8=4.9 and the masses (60,70g) calculate the expected acceleration. C. what quanatiative compariosn is most appropriate between your results (percent difference or error)?One afternoon, a student was going home after attending a calculus class. For this reason, the student orders an online motorcycle taxi through the application. At the time of ordering, the online motorcycle taxi is in the position s = 2t² + 2t+4, where t is in units of time and s is in meters. a. Determine the average speed of the online motorcycle taxi at intervals of 3 minutes to 5 minutes. b. Determine the time when the instantaneous speed of the online motorcycle taxi is exactly the same as the average speed. NEED IN RUSH THANKSA motorist starts from rest and traveled as seen in the speed-time graph. The total distance traveled and the average velocity in m/s for the distance traveled is 1.5 3.0 4.5 6.0 7.5 Time in minutes Select one: O a. 7.5 km, 4.5 m/s b. 10 km, 1.5 m/s c. 4.5 km, 10 m/s Reply... Speed in km/h :
- 7. A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s?. Determine the time for the feather to fall to the surface of the moon. a. 2.29 s b. 1.29 s. c. 1.29 m d. 0.29 s. a C d5. Draw a distance vs. time graph for Melinda’s journey. Her home is located at 0 meters.Melinda is riding her bike over to her friend Sara’s house to complete an assignment. Her friend lives 5 km away. She accelerates away from her home for250 m in the next 2.5 minutes. She then rides at a constant speed of 300 m/min for 15 minutes. Melinda sees Sara’s house approaching so she slows downuntil she reaches her destination in the next 2.5 minutes. She stays at Sara’s house for 30 minutes while they work on the assignment. It is time to go home,Melinda rides home at a steady speed of 250 m/min for 10 minutes. Melinda is getting tired so she slows down for 250 m during the next 5 minutes thenstops for 2.5 minutes to have a drink. Realizing it’s getting late, she had to speed up 1 km in the next 5 minutes then rides at a constant speed of 300 m/minfor 2.5 minutes. Almost home, she decelerates for the next 10 minutes until she reaches her house.4. Marcus throws a rock straight up into the air. It leaves his hand 1.2 meters above the ground, and it hits the ground 3.5 seconds later. Find a. the initial speed of the rock when it leaves his hand b. the maximum height the rock reaches before falling back down, relative to the ground c. the speed of the rock right before it hits the ground
- 1. Refer to the velocity-time graph of a jogger. The positive direction is away from the jogger's home. Rank the four distances for the time intervals, A, B, C, D in decreasing order. Explain your answer. 15 10 C 40 50 30 20 Time (s) 0. 10 20 (s/w) pe 2516. Sketch the velocity-time graph of the different parts of his motion from the airplane to the ground. [Appendix A] A. Jumps from airplane. B. Reaches terminal velocity. C. Pulls rip-cord to open parachute. D. Parachute is fully open. E. Contacts ground. velocity A B C D E time2. A jet plane has a takeoff speed of vtakeoff = 73 m/s and can move along the runway at an average acceleration of 2.4 m/s2. The runway is 1.2 km. Write out the 3 Kinetic equations. a. b. Write out the values of initial position, initial velocity, and acceleration. How many seconds will it take for the plane to reach takeoff speed? с. d. How far will the plane have to travel to get to takeoff speed? will the plane be able to get to take off before it gets to the end of the runway? е.