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- 1. A train leaves the station on a 50 km commute. The train must make a 60-second stopevery 1.0 km to pick up and drop off passengers. The train accelerates at 2.0 m/s2, then cruises at90 km/h, and then decelerates at 5.0 m/s2 between stops.(a.} How many stops does the train make?(b.} How long does it take for the train to get from one stop to the next?(c.} What is the total time for the entire commute?3. The velocity of a particle traveling along a straight line is v = (3t – 4t) ft/s, where t is in seconds. If s = 4 ft when t = 0, determine the position of the particle when t = 4 s. What is the total distance traveled during the time interval t = 0 to t = 4 s?3. Toy Train : A toy train pushed forward and released at x0=2.0 m with a speed of 2 m/s. It rolls at a steady speed for 2 s, then one wheel begins to stick. The train comes to a stop at 6m from the point at which it was released. What is the magnitude of the train's acceleration after its wheel begins to stick?
- During 9.67 s, a motorcyclist changes his velocity from v1,x = -39.1 m/s and v1,y = 13.7 m/s to v2,x = -23.7 m/s and v2.y = 29.9 m/s. Find the components of the motorcycle's average acceleration during this process, a,v,x and av.y. Aav,x m/s? dav,y m/s? II3. The car passes point A with a speed of 20 m/s after which its speed is defined by v= (20 – 0.20s) m/s. Determine the magnitude of the car's acceleration when it reaches point B, where s = 51.5 m and x = 50 m. dv Recall: dt dv ds y 1 y = 16 – 625 В S 16 mpls help solve this problem
- 6. A car starts from rest and accelerates at a rate of 1.8 m/s² West for 15s. It goes at a constant velocity for 50s and then accelerates at a rate of 2.1m/s² East for 10 s. Use West as the positive direction. a. Draw an acceleration graph for this situation. Remember to quantitatively label your axes. a (m/812) t(s) 0-15 15-65 65-75 b. What is the change in velocity for each time interval? Av (m/s) t(s) Draw a velocity graph for this situation. Remember to quantitatively label your axes. v (m/s) E t(s) d. What is the total displacement between t-Os and t= 75 s?A car starts from 2.00 m/s and accelerates at 4.00 m/s2 for 6.0 s, it coasts for 5.00 s, and then slows down at a rate of 2.00 m/s2to a stop. How far has it traveled, in meters? Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.During 9.73 s, a motorcyclist changes his velocity from v1.x = -41.5 m/s and v1.y U2.y = 28.7 m/s. = 12.9 m/s to U2 x = -15.5 m/s and Find the components of the motorcycle's average acceleration during this process, aav.x and Aav,y. day,x = m/s2 dav,y = m/s2
- what constant acceleration in SI units must a car have to go from zero to 60mph in 14sec? how far has the car traveled when it reaches 60 mph...need si units... how far has car travel when it reach 60 mph...need units in feet( 2 sig fig)15. A ball is hit upward with an initial velocity of 128 feet per second. After t seconds, its height h(t) is given by the function h(t) = -16t?+128t+4. What is the maximum height in feet of the ball? a. 268 feet b. 256 feet C. 264 feet d. 260 feet94 in x 114 in (24 cm x 29 cm) with Prongs EAR -rocket Portfolio Stenes, inc Distributed 3. A ball is thrown straight up with an initial velocity of 128 ft/sec., so that its height 844106 031076 (in feet) after t seconds is given by s(1) = -16t2 +128 A. What is the average velocity of the ball over the time intervals? a. [2, 3] b. [2, 2.5] c. [2. 2.1] B. What is the instantaneous velocity at time t 2? C. What is the instantaneous velocity at time t-5? Is the ball rising or falling? D. When will the ball hit the ground? An object is dropped from a certain height. It is known that it will fall a distance s, in