2. A school bus is travelling down the highway with a speed of 15 km/h, then speeds up with constant acceleration over 1.2 km over 59 s. We want find the initial velocity of the school bus. Which kinematic formula would be most useful to solve for the unknown? 3. A motorcycle is travelling to the right of 3.5 m/s on an slippery road when the brakes are applied. The motorcycle slows down with constant acceleration for 4.0 m until it comes to stop. How long does it take the motorcycle to slide to a stop?
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- 1. Treat the motion of a particle which moves along the s-axis as shown. + 8, ft or m -1 1. 2. 3. The velocity of a particle is given by v where v is in meters per second and t is in seconds. 20r 120t + 25, Plot the velocity versus time graph for the first 10 seconds. Show the zero acceleration. b. Referring to Situation A, what is the velocity of the partidle when the acceleration becomes a. zero. Plot the acceleration versus time graph for the first 10 seconds. d. Describe the slope of the velocity and discuss its relationship to the acceleration of the particle. C.Diane dives in a pool moving at 7.6 m/s until reaching 8.42 m from the diving board. Solve thefollowing:a. The average acceleration of the diver as she travels through the waterb. Time the diver comes to a stopC. The speed of the diver after diving 5.87 man suv travels a 1.30 km levelled road from bonifacio rotunda to citylighs hotel in a minimum time of 45.60 sec. the suv starts from rest at the rotunda, travels at a constat speed for some time and will stop at citylights hotl. given that the car accelerates and decelerates at 2.53 m/s^2. determibe a. the maximum speed (in kph) b. the time (in seconds) it travels at this speed
- 5. The acceleration of a jeepney is given by az (t) = at – Bt? a = 1.50 m/3 and ß = 0.120m/4 , where The motorcycle is at rest at the origin when time t = 0. %3D a. Find its position and velocity as functions of time. b. Calculate the maximum velocity it attains.III. EVALUATION Solve the following word problems. 1. A sports car must achieve a velocity of 100 m/s after passing the entry tollgate of an expressway. If it can do this after traveling 1km, what must its acceleration be? 2. An object is thrown upward and returns to the ground 12 seconds. How high did the ball go? 3. A bus is traveling with a uniform velocity of 20 m/s. At the instant it passes a car at rest, the car starts to accelerate at 4 m/s2 in the same direction as the velocity of the bus. (a) After how many seconds will the car overtake the bus? (b) How far will the car travel before overtaking the bus?4. A sprinter begins from rest and accelerates at the rate of 2 m/s? for 200 m. a) What is the sprinter's velocity at the end of the 200 m? b) How long does it take him to coyer it? T600me Sumee, talefral 2 rch Vイー160 vi=Oms 16000 ニし, (600 -0 5. A plane accelerates from 2 m/s at the rate of 3 m/s² over 530 m distance. a) How long does it take the plane to cover this distance? b) What is its velocity at the end of this 530 m distance? VA ASー 6. A box falls off the tailgate of a truck and slides a distance of 62.5 m before coming to a halt. If friction slows the box at the rate of 5 m/s?: a) What was the speed of the truck when the box fell? b) How long does it take the box to stop?
- 1. A particle moving in a straight line has an acceleration a = 4t – 9. Its initial velocity is 4m/s. Find the velocity (in m/s) after 6s. 2. A particle moves in accordance with the equation a = 24 – 6t2. When t = 0, v = 20m/s. Find the maximum positive velocity (in m/s).1. A vehicle drives at a constant speed of 215km/h for 42.3 seconds, accelerates by 29.4m/s2 for 5.00s. And finally, slows down to the stop. The entire movement takes 88.6 seconds. A. Make a vector-speed diagram or graph as a function of time for the situation. B. Determine the maximum speed. C. Determine the total displacement. 2. Two 9.82km separate trains travel on parallel tracks in opposite directions, one to the other. Train A has a speed of 5.87 km/h at departure and accelerates at a rate of 0.29m/s2. Train B has a speed of 20.3m/s at departure and an acceleration of 0.69m/s2. A. Make a diagram or graph position according to time for the situation. B. Determine when trains meet.©20. A railroad freight yard switch engine on a straight track trav- els 1000. m to the end of the track, then back 600. m, then forward 300. m. a. What is the switch engine's final displacement from its starting position? b. How far did it travel?