PROBLEM 2.15 17. The position of a particle moving along the x-axis is given by x = (11 + 14t – 2.0t2), where t is in seconds and x is in meters. What is the average velocity during the time interval from t = 1.0 s tot= 4.0 s? 6 m/s b. с. 8 m/s d. 2 m/s a. 4 m/s
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- 1. 1) The acceleration of a particle moving along a straight line is a = (-C· /v) m/s², where C is a constant and vis velocity in m/s. If the constant Cis 1.5, and the initial velocity vo = 6.9 m/s at time t= 0, determine how far (in m) it has traveled when it stops. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point.Example 2:A particle moving along a straight line is subjected to a deceleration a = (-2v') m/s², where v is in m/s. If it has a velocity v = 8 m/s and a position s = 10 m when 0, determine its velocity and position when t = 4 s. t = %3DConsider 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 v and acceleration a of the clevis attachment at B. 2.7 B 3.6' PA 37° Part 1 Correct Determine the indicated terms used in the velocity and acceleration formulas. 2.7 B 3.6' 37° Answers: r- 75.6 in. 37 トー 6 in./sec 9 - 0.21 rad/s Fー -3 in./sec? 0 - rad/s?
- What is the local acceleration (m/s) for a fluid particle that travels along a path and the 3 0.7 with velocity given by s t radius of curvature is 3.4m, where s is in meters and t is in seconds? s=2.5m, t=0.5 s. Select one: a. a = 111.0 m/s2 b. a = 49.3 m/s2 c. a =27.2 m/s • d. a = 13.5 m/s2 O e. a = 73.8 m/s2Q1. A driver enters a curved car at 72 km/h, slows down, causing the speed to drop at a steady rate of 4.5 km/h every second. If the radius of curvature is 16.7 m. Find the acceleration of the car after 4 seconds from the driver starting to slow down.1. The position of a particle moving along the x-axis is described by x = t – 108t in where t is the time in sec. For the time interval t= 0 to t = 10 s, (a) plot the position, velocity, and acceleration as a function of time (b) find the displacement of the particle and (c) determine the distance traveled by the particle.
- The position of a particle is given by s= 0.39³ -0.69t2-2.04t+4.42, where s is in feet and the time t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 6 seconds of motion. After you have the plots, answer the questions as a check on your work. Questions: 0 Whent 0.8 sec, v= When t 5.2 sec, v= 2 3 -+s, ft ft/sec. a ft/sec, a The positive time at which the particle changes direction is i sec. ft/sec2 ft/sec²EX- 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 timeTOPIC: Equation of Motion (NORMAL AND TANGENTIAL) Fn= Man Ft= Mat Given a 1400 kg car that travels along a road with increasing vertical profile y = 0.0003x². If the constant velocity of the car is 30 m/s. of the distance is at 210m, Determine the x-component of the velocity (m/s) of the car. Compute the total force (KN). PLEASE ANSWER WITH A COMPLETE AND DETAILED SOLUTIONS. THANK YOU
- The displacement of a particle is given by s = 4t3 - 54t2 + 105t - 49 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 10 seconds of motion. After you have made the plots, answer the questions. Questions: Att- 2 sec, ft. v= ft/sec, a = ft/sec? %3D Att = 4.1 i ft. v= i ft/sec, a = i ft/sec? sec, Att = 8.7 i ft, v= i ft/sec, a = i ft/sec? sec, The velocity is zero when t = i sec and whent%3D i secA particle moves along the x-axis so that its coordinate follows the law x(t) =2t^2 +4, where x is in meters, and t is in seconds. a)Find the particles velocity (in m/s) b) Find the average speed (in m/s)of the particle between t=2s and t=4s. c) Find the particles acceleration (in m/s^2If a ball is thrown into the air with a velocity of 52 ft/s, its height in feet t seconds later is given by y = 52t – 16t2. (a) Find the average velocity for the time period beginning when t = 2 and lasting for each of the following. (i) 0.5 seconds 70 X ft/s (ii) 0.1 seconds 69.5 X ft/s (iii) 0.05 seconds 68.5 ft/s (iv) 0.01 seconds 70 X ft/s (b) Estimate the instantaneous velocity when t = 2. 70 X ft/s