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- A stone is thrown vertically upward with a speed of 17.6 m/sm/s from the edge of a cliff 75.0 mm high. A.)How much later does it reach the bottom of the cliff? Express your answer to three significant figures and include the appropriate units. B.)What is its speed just before hitting? Express your answer to three significant figures and include the appropriate units. C.)What total distance did it travel? Express your answer to three significant figures and include the appropriate units.A. Describe the Motion! Directions: Carefully analyze the graph of the motion of an object shown below, then answer the questions that follow. -1 -2 Time (s) 1. Where is the object at t=5s? 2. Describe the motion of the object per section. (a, b, c, d, e, f and g) 3. Calculate the total distance travelled by the object. 4. Construct the graph of average velocity against time. 5. What would a graph of the object's acceleration look like? Displacement (m)A motorcycle begins at rest at t0 = 0 seconds. The motorcycle starts moving, and eventually covers a distance d = 840 m, in a time tf = 189 s. In a coordinate system with north being the positive x-direction, the motorcycle's motion is in the northern direction (see figure). 1. What was the motorcycle's average speed, vavg, during this period, in meters per second? 2. What was the motorcycle's displacement in the northern direction during this period, in meters?
- 1. Is it possible that the magnitude of the speed is also the magnitude of the velocity? Explain your answer. 2. A man walked from point A to F following the route in the grid below in 250 seconds. Determine: F B. 0.5 km a. the average speed in m/s b. the magnitude of the displacement c. the magnitude of the average velocity. E. A.The Nardo ring is a circular test track for cars. It has a circumference of 12.5 km. Cars travel around the track at a constant speed of 100 km/h. A car starts at the easternmost point of the ring and drives for 15 minutes at this speed.a. What distance, in km, does the car travel?b. What is the magnitude of the car’s displacement, in km, from its initial position?c. What is the speed of the car in m/s?A. Answer the following questions correctly. 1. Can a displacement from one point to another be zero, yet the distance involved in moving these points be non-zero? Can the distance between two points be zero, yet the displacement from one point to the other be non-zero? Explain. Can the velocity of an object be in different direction than the acceleration? Give example. Explain how a body moves with (a) uniform motion, and (b) uniformly accelerated motion. Is it possible for a body to accelerate when its velocity is constant? Explain. 4. 5. If an object has a greater speed, does it necessarily have a greater acceleration? Explain using examples. 2. 3.
- A cat walks in a straight line, which we shall call the -axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat's motion and construct a graph of the feline's velocity as a function of time (Figure 1). I. Calculate the area under the graph between t = 0 and t = 6.0 s. (Express your answer to two significant figures and include the appropriate units.) II. For the time interval t = 0 to t = 6.0 s, what is the magnitude of the average velocity of the cat? (Express your answer to two significant figures and include the appropriate units.) III. Use constant-acceleration equations to calculate the distance the cat travels in this time interval. (Express your answer to two significant figures and include the appropriate units.)a.) Draw the distance vs. time graph. Find the slope. b.) Describe the graph line. What does it imply? a.) Draw the speed vs. time graph. Find the slope. Describe the graph line. What does it imply? b.) Find the slope of the graph and compare it with the calculated acceleration. Describe the motion of a freely falling body based on the results obtained. If, by some suitable mechanism, the falling body had been given an initial downward push instead of being just released, would the resulting value of `g’ have been different? Explain. Problems: An object is dropped from rest at a height of 300 m.a. Find the velocity after 2 seconds.b. Find the time it takes for the object to reach the ground. c. With what velocity does it hit the ground? A car starting from rest is accelerated 15 m/s2. In how many seconds will its velocity be equal to 100 m/s? How far will it have traveled during this same time?B. PROBLEM SOLVING: Solve the following problems with complete solutions. (Given, formula, substitution with the correct units and the final answer up to two decimal places. 1. What is the displacement of a horse rider with an initial velocity Of 4.0 m/s and accelerate uniformly with a final velocity of 18.0 m/s in 4.0 seconds 2. What is the initial velocity of an automobile acquiring a final velocity of 32 m/s with an acceleration of 4.0m/s 2 3. The brakes are applied on a car traveling at 30 m/sand stop sin 3.0 seconds. Find the car's a. Displacement b. acceleration
- 8. The graph below shows the velocities of two pinewood derby racecars. The cars start side-by-side. A B. 1 t(min) a. What is the meaning of the shaded region? b. Which car is ahead after 1 minute? After 2 minutes? Explain. c. Write down a description of the race based on the information from the graph.In a men's 100m race, accelerating uniformly, Jonathan takes 2.50s and Bryan 3.00s to attain their maximum speeds, which they each maintain for the rest of the race. They cross the finish line simultaneously, both setting a world record of 9.5s. a. What is the acceleration of each sprinter? a. Jonathan b. What are their respective maximum speeds? Show your COMPLETE SOLUTION and put your final a. Bryan answer in the box. Answer without solution will not be considered. b. Jonathan b. BryanAn object has an acceleration defined by the equation a=5t+4 (m/s^2) where "t" is in seconds. The initial velocity of the object is -10 m/s and started at a position s = 40m. 1. How much time is needed for the particle to reach a velocity equal to zero? Express your answer in unit of second. 2. What is the position of the object when it reaches zero velocity?