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- PA-4 (For Automobile Mechanics). One of the more well-known tests is crash testing. The car is timed and recorded going in two separate and opposite directions. The two times are averaged together to achieve the commonly accepted 0 to 60 time. Given this brief review, let us suppose that the velocity (in feet per second) of an automobile starting from rest is given by this model v = 80t/(t + 5). Determine the velocity and acceleration of the mobile when t=0, t=10, t=20, t=30, t=40, t=50, and t=60.A snowboarder’s velocity is tracked by a pulse-laser velocimeter as she descends the slope. These velocity data are stored and analyzed via an embedded curve fitting procedure to determine a velocity function of v(t) = 1.5t2 + 2t + 2 (t is time in seconds and v is velocity in ft/s). At time equal 0, position (x) is zero. Find her position (e.g., distance traveled), velocity and acceleration formulations and values of each when time equals 15 seconds. Clearly write the formulas before finding respective values at t = 15 seconds!Applying principles of dynamics (with step by steep solutions pls i give 5 stars) The displacement of a particle which moves along the x axis is given by x = (-4 + 3t2)e-0.25t, consider x to be in feet and t in seconds. Plot the displacement, velocity and acceleration for the first 20 seconds of motion and determine, both graphically and by your established equation for acceleration,the time at which acceleration is 0. (If the students find it more comfortable, they may choose to graph using excel or any graphing software, solutions however must be done manually)
- Expalin the construction of velocity and Acceleration digrams.For the Following question Graph all 4 : [I just need all 4 graphs and please explain and make clean solution] Position vs time Velocity vs time Acceleration vs time Force vs time [For your convenience, I have solved the numerical solutions for the problem] (Please Look at the picture since it is much cleaner) Question : A 550 kilogram mass initially at rest acted upon by a force of F(t) = 50et Newtons. What are the acceleration, speed, and displacement of the mass at t = 4 second ? a =(50 e^t)/(550 ) [N/kg] v = ∫_0^t▒(50 e^t )dt/(550 )= v_0 +(50 e^t-50)/550=((e^t- 1))/11 x = ∫_0^t▒(e^t- 1)dt/(11 )= x_0 +(e^t- t - 1)/(11 ) a(4s)=(50*54.6)/550= 4.96[m/s^2 ] v(4s)=((e^4-1))/11= 4.87[m/s] x(4s)=((e^4- 4 - 1))/11= 4.51 [m]The diagram shows a velocity-time graph for a car moving in a straight line. At point P thecar must be ____ and at point Q it must be ______ CHoices: slowing down, slowing down at the right of the origin, at the left of the origin speeding up, slowing down slowing down, speeding up speeding up, speeding up Explain why
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