A train with a maximum speed of 105 km/h has an acceleration rate of 0.64 m/s²2 and a deceleration rate of 0.29 m/s². If the train takes 50 s to slow down from maximum speed to a complete stop, how much distance does it cover during this process? Provide your answer in m and round to the nearest whole number. Type your answer...
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- If an average-size man jumps from an airplane with an open parachute, his downward velocity t seconds into the fall is v(t) = 20(10.2) feet per second. (a) Use functional notation to express the velocity 3 seconds into the fall. Calculate it. ft per sec (b) Explain how the velocity increases with time. Include in your explanation the average rate of change from the beginning of the fall to the end of the first second and the average rate of " change from the fourth second to the fifth second of the fall. This answer has not been graded yet. (c)-Find the terminal velocity. ft per sec (d) Compare the time it takes to reach 99% of terminal velocity here with the 25 seconds it took a skydiver with his parachute closed to reach 99% of terminal velocity in Example 2.1. On the basis of the information we have, which would you expect to reach 99% of terminal velocity first, O feather feather or a cannonball? O cannonball Need Help? Read ItA car takes 5.0 s to go from v=0 m/s to v=24 m/s at constant acceleration. If you wish to find the disance traveled using the equation d=1/2at squared, what value should you use for a? Express your answer to two significant figures and includ the appropraite units.You and your friend each drive 50.0 km. You travel at 90.0 km/h. Your friend travels at 9 km/h. How long will your friend be waiting for you at the end of the trip?
- 3. A tennis ball is thrown up in the air. It's height is given by h(t) = -5t2 + 23t + 2, where h(t) is in meters and t is in seconds. Use technology to answer: a.) What is the max height of the tennis ball? When does it occur? b.) How long was the tennis ball in the air?A woman stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v, = 19.5 m/s. The rock leaves her hand at a height of h = 49.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) m Yo = (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = m/s Voy m/sA person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v = 23.0 m/s. The rock leaves his hand at a height of h = 43.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. 4 7 i (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) Xo = Yo = m (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = m/s m/s Voy
- The jet car is originally traveling at a velocity of 10 m/s when it is subjected to the acceleration shown. When -0.s=0 Supposie that a, =45 m/s. a=35 m/s and t"= 12 s. (Flgure 1) Determine the car's maximum velocity Express your answer to three significant figures and include the appropriate units. Value Units Figure <1 of 1 Submit RenstAnnwer e (m/) Part B Detemine he timo t when the car stops Express your answer to three significant figures and include the appropriate units. t's Value Unts Submit BesustAnsweMr. M gets on his bike and rides 11m in the direction of [E52S]. He then changes his direction to [W11N] and rides another 5.7m. a) What was his total displacement? b) What was his distance traveled?High-speed motion pictures (3500 frames/second) of a jumping 230 μg flea yielded the data to plot the flea's acceleration as a function of time as shown in the figure ( Figure 1). (See "The Flying Leap of the Flea," by M. Rothschild et al. in the November 1973 Scientific American.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Use the measurements shown on the graph to answer the questions. Figure alg 150 100 50 0 0 0.5 1.0 1.5 Part E Use the graph to find the flea's maximum speed. Express your answer in meters per second to two significant figures. IVE] ΑΣΦ 3 v=1.6 Submit Previous Answers Request Answer ? X Incorrect; Try Again; 2 attempts remaining m/s
- A car is initially traveling at a rate of 65 feet per second. The acceleration of the car is 3 feet per second squared. Determine the displacement of the car at time t if the displacement at t=5 seconds is 29 feet. Do not include "s(t)=" in your answer.An object was observed to have velocity v1 in m/s at time t1 seconds and later velocity v2 in m/s at time t2 seconds: v1=8; t1=2.4; v2=4; t2=4.0 Units are m/s and s. Find the average acceleration of the object in m/s/s.