Q2) A van travels along a straight road with a velocity described by the graph. Construct the s-t and a-t graphs during the same period. Take s = 0 when t = 0. Ans. 800 ft, -4 ft/s² v (ft/s) 80- v=-41+ 80 20 -t(s)
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- 1) From 0 to 10 sec, find alphaA1, alphaC1 in rad/s^2, omegaA1(t), omegaC1(t) in rad/s, thetaA1(t), thetaB1(t) and thetaC1(t) in rad, and the distance made by the load s1 in inches and in feet made by the load during this time.EX- function of time t (in second ) is : The position s ( in meters ) of a moving body as s - 2t + 5t – 3 ; find : a a) The interval from t= 0 to t= 2 seconds . b) The body’s velocity at t=2 seconds . displacement and average velocity for the timeA cart weighing 0.5 kg is drawn up a smooth 45° incline by a motor, M, winding up a cable. The force in the cable can be expressed as 5t² N, where t is in seconds. When t = 0, the displacement s = 0 and the initial velocity is 3 m/s. Find the cart's velocity when t = 2 seconds. > Draw a very clear FBD of the cart that you can use to write the equations of motion > Write the equations governing the cart's motion along the incline. Use axes parallel and perpendicular to the incline. Find the velocity requested
- v(m/s) 1.00 6) Draw a velocity-time graph that shows the motion of a ball that roll up then down a ramp with an initial velocity of +1.0 m/s and an acceleration of -0.20 m/s². 15 1.0 t(s)1. The wheel starts rotating from rest, 5) if its angular velocity W as a function of angular position is w=0.2-0², where 0 is in radian, and its radius ris 0.3 m, what is the magnitude of the total linear acceleration (in m/s2) of point P after the wheel has turned 1.4 revolution(s) from rest. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Your Answer: Answer PThe traffic volume data table below counts was taken on rural a highway during the morning peak hour at (8:00-9:00 am) on Monday of a week. Time periods (minute) 8:00-8:15 AM 8:30-9:00 AM Number of vehicles 385 790 The average time headway (sec) during 8:00-9:00 am 2.25 a) Find the traffic volume for the period from 8:15 to 8:30 am. b) Determine the hourly volume (HV), the maximum rate of flow within the hour, and the peak hour factor (PHF). c) Estimate the density and speed of traffic if an average spacing of 150 ft. d) Estimate the daily volume for Monday if the hourly expansion factor (HEF) is 22.05.
- s (m) 2 V= a= v(m/s) 800-3 2. Draw the a-t and v-t graphs. ds dt a (m/s^2) 0 -0.5 -1 -1.5 -2 -2.5 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 dv_d(-2) = 0 dt dt = 0 1.KINEMATICS 0 1 d(-2t+2) dt 5=-21+2 0 0.2 =-2m/s -1 (5) 0.5 Plot of v-t 0.4 0.6 1 t(s) Plot of a-t tis 0.8 1.5 1 1.2 25From rest, a food truck accelerated at a constant rate of 3.25 (meter per second squared) for 15 (seconds). Then, the food truck drove at a constant speed for 5 (seconds). Determine the total distance travelled by the food truck.@AB = 4 rad/s %AB = 6 rad/s² 0.5 m 45° B/C 1 m 60° IC Now let's look closer at Figure 2 from the prior question. By drawing lines that pass through points B and C which are perpendicular to their velocities (the red lines in the figure above) we can locate the IC at the intersection (the star). Now we can use some basic trig to figure out the distance TB/Ic labeled in the figure, which is the radial distance from the IC to point B. I've drawn in a green dashed line that creates two right triangles to help with the trig. What is the distance TB/IC? Give your answer in m but don't type the unit.
- Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 6 in./sec, which is decreasing at the rate of 3 in./secevery second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 12 deg/sec. Determine the velocity vand acceleration a of the clevis attachment at B. B 2.7 3.6' 370 Part 1 Correct Determine the indicated terms used in the velocity and acceleration formulas. B 2.7' 3.6' 37° Answers: r- 75.6 in. 37 in./sec 9 - 0.21 rad/s -3 in/sec? 0 - rad/s?Q3: Suppose the velocity of a car at any time t is given by the equation: Vx=60 m/s+ (0.5 m/s^3) t^4 a)Find the velocity change of the car in the time interval between 1.Os and 3.0s. b) Find the average acceleration in this time interval. c) Find the instantaneous acceleration at time t1 = 1.0s by taking small intervals of time starting at At = 0.1s d) Derive an expression for the instantaneous acceleration at any time and use it to find the acceleration at t = 1.0s and t = 3.0 s. *(1-C.s) m/s² where Cis a constant and sis Q13. The acceleration of a particle traveling along a straight line is a the position in m. If the constant Cis 0.1, the initial velocity vo is 0, and the initial position so = 1.7 m at time t = 0, determine the particle's velocity v when its position s = 4.8 m. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper Sl unit. Answer: =