So, given x(t) we can derive v(t) and a(t) by the differentiation.  1) For example, the displacement of a car moving along the x-axis is x(t)=x0+At2. Assuming A is a postive number, graph x versus t.  2) Now find the equation for the velocity of the car, v(t), by differentiation.  3) Graph v(t) versus t

A bus makes a trip according to the position-time graph shown in the drawing. What is the average velocity (magnitude and direction) of the bus during each of the segments A, B, and C? Express your answers in km/h. The scale for the time axis is 2 h per increment, and scale for the velocity axis is 210 km per increment. (Indicate direction by the sign of the velocity.) segment A segment B segment C km/h km/h km/h Show My Work (Optionall Time (h)

A person going for a walk follows the path shown in the figure. The total tripconsists of four straight-line paths. Use the component method of vector addition to calculate the person's resultant displacement measured from the starting pointa) in unit vector notationb) magnitude and direction.

Physics 1 for engineering

You first walk 10 meters at an angle of 30 degrees East of North. Then,you walk 15 meters at an angle of 45 degrees South of East. Assume that East is +x and North is+y, and assume you started at the origin (0,0).   A. Make a graph with x- and y-axes and draw your path on that graph (to scale, or at least asclose as you can get). Start the first vector at the origin, and the second vector at the tip ofthe first vector. Then, draw the resultant vector (their sum).   B. Break each part of the walk into their x- and y-components and then sum them to get thex- and y-components of the resultant vector. Make sure to include units and unit vectors.     C. What is your displacement from where you originally started?   D. If the whole walk took 40 seconds, then what was your average velocity

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After Physics Lab, a student undergoes displacements (moves) -60 m East +20 m North. a. What was the magnitude and angle for their total displacement?

Jill's dog Sparky runs 20.0 m northeast to a tree, then 10.0 m west to a second tree, and finally 10.0 south to a third tree. Draw a picture and establish a coordinate system. Calculate the y component (in m) of Sparky's net displacement.  x component (in m) of Sparky's net displacement = 4.14 m

Choose one equation (and only one) from the equation sheet that would let you solve the problem posed. Then define which variables in the equation go with what numbers from the problem itself (not from other problems), and define which variable is being solved for. Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown. Don’t forget to include direction when called for by a vector variable. 1) A single mole of Carbon Dioxide has a mass of 44 g, and at 1.00 atm of pressure and 20oC (293K) it occupies 22.4 liters. At what speed will you find the peak of its speed distribution function?