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- The position of a particle in the xy-plane at time t is r(t) = (e¹) 1 + (40 e²¹) ₁. particle. Then find the particle's velocity and acceleration vectors at t = In 7. The equation for the path of the particle is y= j. Find an equation in x and y whose graph is the path of theAn object moves along the x-axis with its position x given as a function of time t by x (t) = Ct2 – Dt + B What is the object's velocity v as a function of time? v (t) =A cyclist is travelling along a straight road. Graph 1 shows the cyclist's velocity during the first 32 s of his journey. 2. 30.0 25.0 20.0 15.0 10.0 5.0 0.0 0.0 5.0 10.0 15.0 20.0 25.0 30.0 35.0 Time (s) Graph 1 Sketch a graph of position on the vertical axis against time on the horizontal axis for the jourmey. a. b. Determine the average acceleration of the cyclist during: i. The first 16 seconds ii. Between 16 seconds and 24 seconds iii. Between 24 seconds and 32 seconds Calculate the average acceleration of the cyclist for the entire journey. d. Calculate the total distance that the cyclist travelled during the first 24 seconds. e. Draw a motion diagram that corresponds to Graph 1. Velocity (m/s)
- Problem 3: You throw an object up with a speed of voy = 7 m/s from a height of y = 25 m. %3D Part (a) How long, in seconds, does it take for the object to reach the ground? Numeric : A numeric value is expected and not an expression. %3DProblem 2: Kinematics and vectors. An object is moving on the xy plane with velocities given by: V₂ x = (10.0-0.500t)1 and v = (-5.00t+0.025²) j Determine the following quantities: a. The displacement of the object as a function of time. b. The average velocity of the object from for the time interval from 0 to 10 s.Moving sidewalks are installed every other 50 meters along the entire stretch of an airport walkway. These sidewalks move at a constant speed of 1 m/s. A lady passenger takes one of the sidewalks to go from one point to the next. If the passenger decides to go back using the same sidewalk at 1 m/s, how long will it take to reach her point of origin?
- a m/s t A particle moves in a straight line with the acceleration shown in the figure. Knowing that the particle starts from the origin with v, = -2 ms, (a) construct the v-t and X-1 curves for 0The graph of velocity function v(t) is given below. n 05 Which of the following could be the graph of a (t)? O O O 10 -0.5 -10 10 05 10 A 05 -10 10 f 05an object has a velocity of (5.4 m/s)i - (5.8 m/s)j. over a period of 1.3 s, its velocity changes to (1.7 m/s)i + (5.9 m/s)j. What is the displacement