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A girl operates a radio-controlled model ear in a vacant parking lot. The girl's position is at the origin of the xy coordinate axes, and the surface of the parking lot lies in the x-y plane. She drives the car in a straight line so that the x coordinate is defined by the relation
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- The kinematic equation of a material point motion along a straight line (x- axis) has the form x = A + Bt + Cr, where A = 4 m, B = 2 m/s. C= -0.5 m/s? For the moment of time t| = 2 s, determine: 1) the x1 coordinate of the point, 2) the instantaneous velocity V1, 3) the instantaneous acceleration alarrow_forward1- A particle moves along the x axis. Its position varies with time according to the expression x=-41+ 2f where x is in meters and t is in seconds. The position-time graph for this motion is shown in Figure. Note that the particle moves in the negative x direction for the first second of motion, is momentarily at rest at the moment 1 = 1 s, and moves in the positive x direction at times /> 1 s. (A) Determine the displacement of the particle in the time intervals t=0 to 1=1 s and t= 1 s to / = 3 s. B) Calculate the average velocity during these two-time intervals C) determine the instantaneous velocity and instantaneous speed at t= 0.5 s. x(m) Slope = 4 m/s 10 00 8 9 10 O Slope =-2 m/s 1 2 015 t(s)arrow_forwardSubject: Dynamics of rigid bodies. Polar coordinates.arrow_forward
- Two cars A and B are stopped at a traffic light, waiting for the light to change from red to green, see Figure 3. Car B is 6 meters behind car A. When the light changes to green, car A leaves accelerating at a rate of 0.3 m / sec2, while car B departs 2 seconds later and accelerates at a rate of 0.8 m / sec2. Determine the position where they are next to each other, measured from the “o” point.arrow_forwardI need help with this question please. thank youarrow_forwardHelp!!! Please help part A and B. Answer correctlyarrow_forward
- The x-coordinate of a particle in curvilinear motion is given by x = 3.8t3 - 2.6t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 3.9t. If the particle has y-components y = 0 and vy = 5.2 ft/sec whent = 0, find %3D %3D the magnitudes of the velocity v and acceleration a when t = 5.3 sec. Sketch the path for the first 5.3 seconds of motion, and show the velocity and acceleration vectors for t = 5.3 sec. Answers: V = i ft/sec a = ft/sec2arrow_forwardFor the section shown of a race track, the two race cars travel atconstant speeds. At the instant shown, the front ends of both carscross lineCCat the same time. For the curved section (θ= [θ]°,r1= [r1]m, andr2= [r2]m), both drivers drive at the maximumspeed that their car and tyres allow. Consequently, the maximumlateral (sideways) acceleration of carsAandBare [k1]gand [k2]grespectively whereg=9.81 m/s2. When the second car (notnecessarily carB) crosses lineDD, how far is it behind the firstcar? Assume the race track is straight afterDDand both carsmaintain their speeds. Ignore the horizontal distance between thecars.arrow_forwardFind the distance covered by object A in 10 seconds . Its initial velocity V1 = 15 m/s and its acceleration 2 m/s2 : You can use the formulae V2 - V1 = at V22 - V,² = 2 a s S = V, t + 0.5 a t2 :Choose the correct answer :Select one a. 250 m b. 30 m c. 1800 m d. 450 marrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L