The velocity-time graph of a particle in one dimension is shown in the figure below. A. Roughly sketch the corresponding a-t and p-t plots for the given v-t plot. B. Using the v-t plot provided, compute for the average acceleration in each interval. C. How far are they from the starting point after t = 20.0 seconds?
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The velocity-time graph of a particle in one dimension is shown in the figure below.
A. Roughly sketch the corresponding a-t and p-t plots for the given v-t plot.
B. Using the v-t plot provided, compute for the average acceleration in each interval.
C. How far are they from the starting point after t = 20.0 seconds?
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- Provide an explanation on outlining the underlying physics principle and using correct terminologies. In answering these problems, apply appropriate formulae, principles, and equations. A. Can an object have a constant speed but varying velocity ?Figure below is a velocity-versus-time graph for a moving object. The object starts at position x = 0. What is the acceleration at t= 1.0 s, in m/s2? Your answer needs to have 3 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. time in seconds2. The position of a drone as a function of time is given by *(t) = ( 8 i + 1.5 k) + (-3 î + 2 j) t – 0.5 t2 j The units are missing in the constant coefficients above, i.e., "0.5" should be "0.5 m/s2". Include the correct units on all the constant coefficients in your answers below. a. What is the x-position of the drone as a function of time? b. What is the y-position of the drone as a function of time? c. How far away is the drone from its starting position at t = 3s? d. What is the acceleration vector? е. What is the velocity vector as a function of time? (One way to do this is to take the time derivative of the position vector.) f. Make a sketch of the x, y, and z positions of the drone as function of time. You just need the general shape. time time time
- 6. A train is moving with a constant speed. The train moves 60 meters for every 1.5 seconds that elapses. a. Assume that we get 40 by dividing 60 by 1.5. What is the name that is commonly given to a quantity represented by this number 40? b. To denote the quantity completely, what additional information must be given besides the number 40? c. How would you interpret the number 40 in this instance? Your answer should mention distance and time. d. Use your interpretation (not algebra) to find the distance the train moves in 2.5 seconds.Write the actual function that you expect the velocity to obey as a function of time (recall that the initial velocity was 17 m/s). Your function should be a function of time (i.e. the t variable should be left as an independent variable) but all other values should be filled in with numbers. Based on your answer above, what type of curve would you expect the position vs. time function to obey? i.A constant (horizontal) curve? ii.A linear curve? iii.A quadratic (parabolic) curve? iv.Another type of curve, such as cubic, exponential, sine, square root, etc...? Circle an answer from above and explain how you use your answer to the above question and the relationship between position and velocity to arrive at your conclusion.You measure the motion of a dynamics cart using a motion sensor. You then plot the cart’s position vs. time and velocity vs. time. The best way of finding the average acceleration of the cart is to find: a. the y-intercept of the position vs. time plot. b. the y-intercept of the velocity vs. time plot. c. the slope of the position vs. time plot d. the slope of the velocity vs. time plot. e. none of the above
- An object moves in one dimension, and its velocity versus time is shown in the graph. Express your answers in m/s2. A. What is the average acceleration between the times 0 s and 20 s? B. What is the average acceleration between the times 20 s and 50 s? C. What is the average acceleration between the times 50 s and 70 s? D. What is the average acceleration between the times 0 s and 100 s?What is the acceleration (in units of feet per second squared) of a car that goes from 15 mph to 75 mph in a 10.0 second time period? How far does the car travel during that acceleration in units of feet? Identify the quantity(variable) you are solving for. make a simple sketch to represent the data given. Make a list of all given values, units, and the variables they represent. Write the general form of the equation you are going to use. Solve the equation.Problem 1 - Unit Conversions A plane moves with speed v = 400 km/h; rewrite v in m/s. The density of iron is approximately p = 7.8 g/cm; what is the density of iron in kg/m? Problem 2 - Velocity and Acceleration A point particle moves along the r axis, and its position as a function time is given by the equation z(t) = At² – B ,
- What is the acceleration (in units of feet per second squared) of a car that goes from 16 mph to 75 mph in a 10.0 second time period? How far does the car travel during that acceleration in units of feet? Make a list of all given values, units, and the variables they represent. Write the general form of the equation you are going to use. Solve the equation.1. What is the distance and direction traveled during the 0s-8s time period? 2. What is the distance and direction traveled during the 8s-24s time period? 3. How far away and in what direction from their starting position does she end up?