Create a total displacement versus time graph. DO NOT calculate any slope. What do you notice about the data points? Create a velocity versus time graph. Make sure that you properly label the graph. /3. Indicate any sections on the graph where the velocity is constant or changing.
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- 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.The position of a particle is given by the equation s(t)=10t^2−20/3 t^3−5/4 t^4+t^5 where t is measured in seconds and s in meters. a. Find v(t). b. Find a(t). c. When is the particle at rest? d. When is the particle moving forward? e. When is the particle moving backward? f. Draw a diagram to represent the motion of the particle. g. Find the total distance traveled by the particle during the first four seconds. You must show ALL of your work in order to receive full credit. please do not reject my question I need help2. Enter the data below into an Excel chart. The chart below gives information on velocity as a function of time. Time (sec) 0 1 2 3 4 Velocity (m/s) 0 11.0 19.4 29.2 39.4 (a) Plot as an x-y scatter plot. (b) Label the axes including units and add a title to the plot.
- 3. A tennis ball is thrown up in the air. It's height is given by h(t) = -5t2 + 23t + 2, where h(t) is in meters and t is in seconds. Use technology to answer: a.) What is the max height of the tennis ball? When does it occur? b.) How long was the tennis ball in the air?a. 0.400 m/s2b. 0.555 m/s2c. 0.308 m/s2d. 0.385 m/s2A car accelerates uniformly from zero to 12 m/s^2 in 8 seconds staring from rest. During the next 4 seconds, the car decelartes from 12 m/s^2 to 11m/s^2. a. Determine the velocity after 12 seconds.b. Distance traveled after 10 seconds c. Distance traveled after 12 seconds.
- If an object is dropped from a 196-foot-high building, its position (in feet above the ground) is given by s(t)= - 16t² + 196, where t is the time in seconds since it was dropped. a. What is its velocity 1 second after being dropped? b. When will it hit the ground? c. What is its velocity upon impact?A frustrated office worker throws his laptop out of his business's high- rise office building. The height, h, in meters of the laptop above the ground at t seconds can be modelled by h(t) = 125-5t². a. Determine the average rate of change between the third and fourth second of the laptop's flight. b. Estimate the rate at which the laptop hits the ground.1. A flare is launched in the air and its height in metres after t seconds is shown in the table at the right. time (s) height (m) a) Calculate the average velocity between 1 and 4 seconds. 45 80 2 3 4 105 120 125 b) Estimate the instantaneous velocity of the flare at 6 seconds. 120 7 105 8 80 9. 10 45 c) Estimate the instantaneous velocity of the flare at 5 seconds. What does this tell you about the flare at 5 seconds?
- A race car, from rest, accelerates 9 m/s. How long will it take for the car to cover a distance of 9 6 km (Assume the car travels along a straight line) Select one Oa 13990 meters Ob. 44.2401 meters Oc. 1957 1865 seconds Od 44.2401 secondsThe 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 choiceName: 22. The following data show the position of an object as a function of time. Time Position (cm) (s) 0 0 1 3 2 11 3 4 5 254974 26 a Graph the data d. Make the new graph. FORBRIZAL e Determine the 96 80- 170 60 slope of the line of best fit. 50 40- 130- 20- b. What type of graph is this? lineur c. What should you graph to create a linear graph? to- 1 2 3 4 5 Time Page 7 of 10 ACL: SPH4U Introduction f. Write an exact equation to represent the relationship between position and time for this object.