Answer completely. 1. Make a hypothetical sketch of a velocity-time graph in which the velocity is always positive, but the acceleration is always negative. Give a physical example of such motion.
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- A person drops a rock from the edge of a cliff that is 1350 ft high. The initial acceleration is a=−32 ft/sec^2. 1. What is the velocity equation? Use t as the variable and v for the velocity. 2. What is the displacement equation? Use t as the variable and s as the displacement. 3.What time did it hit the ground? (Hint: s=0) 4. What was the velocity just before impact?A ball is thrown upward and has a height function h(t) = -9t2 + 54t, t > 0 where s is in meters and t is in seconds. Record your answer to each question in the corresponding answer box. Input numbers only (and negative sign if needed), do not input the units. 1. Find its velocity after 2 seconds. 2. Find its acceleration after 2 seconds. 3. Find the maximum height reached by the ball. 4. With what velocity will it hit the ground. A/Answer the entire problem set by using kinematic equations. Your answers must be rounded off to two decimal places. If the numerical answer exceeds 1000, do not use a comma as for 1,000. A bike accelerates uniformly from rest to a speed of 12.12 m/s over a distance of 36 m. Determine the acceleration of the bike
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- A. using your measured distance (35 inches) your average time of motion (drop times 2.04s,1.78,2.26,1.59,1.87 and 1.91)and the constant acceleration equation (x=1/2 at^2)calculate the acceration of the atwood machine. B. using m2-m2/m1+m2(9.8)=20/40=0.5x9.8=4.9 and the masses (60,70g) calculate the expected acceleration. C. what quanatiative compariosn is most appropriate between your results (percent difference or error)?The positions of a particle along a straight line is given by s = 7.5e-0.51t - 1.8t + 1.1t2, where s is in meters and t is the time in seconds. Determine the time (s) when the acceleration is 2.7 m/s2. Round off only on the final answer expressed in 3 decimal places. Indicate appropriate unit. Add your answerA stone is thrown outward, at an angle of 65 degrees with the vertical , into the river from the edge of the cliff that is 125 meters above the wate level at a velocity of 40 kilometers per hour. Use g = 9.81 m/sec2 . 1. Determine the distance from the edge of cliff to the point where the stone drops. Answer in 2 decimal places. 2. At what height above the water level will the stone starts to fall? Answer in 2 decimal places.
- Calculate the height of a cliff if it takes 2.35 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.00 m/s. What is the maximum height reached by the rock? How long would it take to reach the ground if it is thrown straight down with the same initial speed? Clearly state the formulae you’re using and what your letters/symbols mean.The velocity-time graph that describes the velocity of an object with time is given as in the figure below. if the values of a= 98.5, b=124.6 and c=57, Find the displacement made by the object in the first hour. v(km/h) b. a t(h) 0.5 1.0 1.5 2.0 Select one: A. 118.1 OB. 175.1 OC 398.4 OD. 139.6 OE 142.7 choiceLiliana can paddle her kayak 7 miles per hour in still water. It takes her as long to paddle 12 miles upstream as it takes her to travel 16 miles downstream. Determine the speed of the river's current. Enter an equation with the following properties: 1. It uses the variable c to represent the speed of the river's current in miles per hour. 2. It uses the information as it is given above. 3. It can be solved to answer the question. Equation: How fast is the river's current? miles per hour