2. At the instant shown, car A has a speed of 20 km/h downwards, which is being increased at a rate of 250 km/h? as the car enters an expressway. At the same instant, car B is decelerating at 300 km/h? while traveling forward at 100 km/h. Determine the magnitude and direction of velocity and acceleration of A with respect to B. 100 m
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- 8Which of the following is/are ALWAYS TRUE? I. Displacement is a vector quantity that has a magnitude and direction that depends on the path taken. II. Average velocity is equal to instantaneous velocity when the acceleration is zero. III. Instantaneous velocity is the slope of the tangent line in the velocity vs. time graph. I only II only III only I and II only1.) Let sA = 15t^2 + 10t + 20 and sB= 5t^2 + 40t, where t ≥ 0, be the position functions of cars A and B, respectively, that are moving along parallel straight lanes of a highway (here, t is in minutes and s in feet). a.) At what instant of time do they have the same velocity? b.) Which car is ahead when the two cars have the same velocity? Please show your complete solution thanks.
- 2. Write the kinematic equations for distance and velocity describing a particle moving in the x-direction with initial position 4m, initial velocity 2m/s, undergoing a constant acceleration of 3m/s² a) x(t) %D b) v(t) =Q2/ Two cars A and B are traveling in adjacent highway lanes, at t=0 the speeds of each car is 18 mi/h, 12 mi/h respectively. Knowing that that A has a constant deceleration of 0.6 ft/s2 and B has a constant acceleration of 0.9 ft/s2, if L=37.5 ft a) When and where A will overtake B 16 s, 385 ft 15 s, 366 ft 18 s, 366 ft 13.5 s, 330 ft 17 s, 374 ft 14 s, 350 ft Other: Q2/b/) The speed of car B at that time is * 35.2 ft/s 31.1 ft/s 32.2 ft/s 34.5 ft/s 33.2 ft/s C C Other: 36.5 ft/s Q2/C) The speed of car A at this time is * 13.5 ft/s C 16.5 ft/s C C C 14.4 ft/s 19.7 ft/s 17.4 ft/s 18.3 ft/s Other:A car traveling east at 45.7 m/s passes a trooper hiding at the roadside. The driver uniformly reduces his speed to 25.0 m/s in 3.00 s. (a) What is the magnitude and direction of the car's acceleration as it slows down? magnitude m/s2 direction ---Select--- east west south north (b) How far does the car travel in the 3.00-s time period? m
- Sketch a velocity-time graph for Donna’s Mercedes which accelerated uniformly for 0 mi/hr to 70. mi/hr in 5.0 seconds. April throws a ball straight up into the air at an initial speed of 30. m/s.can you please help me really quick!! thank you i need it in less than 10 minutes2A) starts from rest and accelerates continuously at a rate of 4.14 m/s² when the rocket is lit, what is the velocity (both magnitude and direction) of the toy car when it reaches the edge of the cliff? Suppose you place your toy car on flat ground 7.30 m away from a tall cliff. If your toy car
- An airplane in level flight travels horizontally with a constant eastward acceleration of 8.35 m/s2 and a constant northward acceleration of −22.0 m/s2. The airplane's initial velocity has eastward and northward components of 81.0 m/s and −14.0 m/s, respectively.Determine the magnitude of the airplane's displacement from its initial position after 16.0 s. ? mA uniformly accelerating rocket is found to have a velocity of 12.0 m/s when its height is 7.00 m above the ground, and 1.70 s later the rocket is at a height of 57.0 m. What is the magnitude of its acceleration? m/s2Cars A and B approached each other on a straight road from points 460 m. apart. A has an initial speed of 70 kph and is decelerating at the rate of 040 m/s2. B has an initial speed of 20 kph and is accelerating at the rate of 0.30 m/s2. At what time will the cars be 200 m. apart from each other? Determine the velocity A at this instant. At what time will the two cars meet each other?