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- A car starts from 2.0 m/s and accelerates at 4.0 m/s2 for 6.0 s. How far has it traveled, in meters? Your answer needs to have 2 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.A ball is thrown from the top of a building and falls to the ground below. Its path is determine by the equation h=-4t square + 36t + 40, where h is the height above the ground in meters and t is the elapsed time in seconds. Determine: a. The maximum height the ball reaches and the time it takes to reach maximum height by using the method of completing the square. Keep in fraction form. b. Determine when the ball hits the ground. c. What is the height of the building.An automobile traveling 95 km/hkm/h overtakes a 1.40 kmkm -long train traveling in the same direction on a track parallel to the road. A) If the train's speed is 75 km/hkm/h, how long does it take the car to pass it in minutes? Express your answer to two significant figures and include the appropriate units. B) How far will the car have traveled in this time? Express your answer to two significant figures and include the appropriate units. C) How long does it take the car to pass the train if the car and train are traveling in opposite directions in minutes? Express your answer to two significant figures and include the appropriate units. D) How far will the car have traveled in this time? Express your answer to two significant figures and include the appropriate units.
- The following data were taken on five cars traversing a 1.6-km highway. Car Time (minutes) A 1.9 B 1.2 C 1.8 D 1.1 E 1.9 Determine the traffic density, in vehicles per km. Express your answer in 2 decimal places.1 A. car is traveling at 30 m/s ( The driver applies the brakes and the car comes to a stop in 4.0 s What is the car's acceleration, in m/s2? Your answer needs to have 2 significant figures, 2A car is traveling at 30 m/s ( approximately 67 mph) on I-95 highway. The driver applies the brakes and the car comes to a stop in 4.0 s . What is the car's acceleration, in m/s2? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed.
- A pumpkin is shot straight up with an initial speed of 5.9 m/s. What is the maximum height it can reach, in meters? Use g = 10 m/s2.Your answer needs to have 2 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.An ant travels 3.95 inches due east, then turns and travels an additional 3.35 inches south. The ant walked east for 2.25 minutes and south for 3.15 minutes. a) What is the ant's average speed over the entire trip in the given units? O 1.35 inches/minute O 1.76 inches/minute O1.06 inches/minute O 2.32 inches/minute O 3.24 inches/minute b) What is the ant's average speed over the entire trip in Sl units? 3,190 m/s 2.06 m/s O 0.000572 m/sA car has acceleration of 4 m/s2 and starts from 1.8 m/s. What is its speed after 7.4 seconds, in m/s? Represent your answer with 3 significant figures. (Your answer should NOT have any sign nor unit, the SI unit is already given in the problem statement.)
- If it takes a horse 175 seconds to make 3.00 laps around a horse track (each lap is equal to 1.00 km), what was the horse's average velocity in m/s when he crosses the start/finish line? Be sure to answer to the correct number of significant digits and include units.The acceleration of an object (in m/s?) is given by the function a(t) = 4 sin(t). The initial velocity of the object is v(0) = - 5 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = b) Find the object's displacement (in meters) from time 0 to time 3. meters c) Find the total distance traveled by the object from time 0 to time 3. metersFigure below shows the position of an object moves along the x-axis. What is the object's velocity at 0.5 s, in m/s? Your answer needs to have 2 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. x (m) 20 10 M 2 3 0 0 -t (s) 4