A projectile is fired downward with initial speed vo in an experimental fluid and experiences an acceleration a = 0 - nv², where o and n are positive constants and v is the projectile speed. Determine the distance y traveled by the projectile when its speed has been reduced to 0.41vo. Also, determine the terminal velocity v; of the projectile. Evaluate for o = 1.07 m/s?,n=0.28 m²1, and vo = 5.4 m/s.
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- 3. The equation v-v =2as gives the final velocity (v.) of a body which started with an initial velocity (v.) and received an acceleration (a) for a distance (s). Show that all three terms have the same dimensions and that the equation is dimensionally correct. Lv where h, is head loss, 2Dg 4. Determine if the equation is dimensionally homogeneous h,- f is a dimensionless resistance coefficient, L is length, D is diameter, v is velocity, and g is acceleration due to gravity.If 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/sř = (3t2 - 2t)i-t³j(m) The position of a particle as a function of time is given by : Find (a) its velocity at t=2sec. (b) its acceleration at 4sec (c) its average acceleration between t-1sec and t=3sec. Ans. (a) 108- 12j ; (b) 6î– 24j ;(c) 6î – 12j
- A particle moves along a straight line with a velocity in millimeters per second given by v= 413 - 16t2 where tis in seconds. Calculate the net displacement As and total distance D traveled during the first 6.1 seconds of motion. Answers: As = i m D = i eTextbook and Media Save for Later Attempts: 0 of 10 used Submit Answer1) Most of us rode bikes a kid. Did you ever accidentally apply the front brake while riding down a hill and flip over your handlebars? Let's analyze the level of deceleration needed to cause this to happen (at this instant the normal force of the rear tire is zero). Assume the rider is moving down a hill at a constant velocity and att = 0, the rider squeezes the brakes and begins to decelerate. This action results in a force that points in the bi direction and passes through the contact points between the tires and the pavement. Be sure to include your FBD, IRD, and transformation array. b2 30 in. FB 13 in. 23 in.Problem Solving: IJA car is fraveling at the speed Vo on a Tevel road. After the brakes ote applied at t = 0, the motion con be approximated by x = where x is the distance traveled in mcters and t is the time in seconds. Find: (a) Find the value of Vo straight, %3D %3D 100
- The position of an object moving along an x axis is given by x = 3t – 412 + , where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity for the time interval from t 2 s to t = 4 s? (g) Graph x versus t for 0Your answer is partially correct. The displacement of a particle is given by s = 5t3 - 70t2 + 105t - 57 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 11 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 2.9 -219.255 ft, v= -174.85 ft/sec, a = -53 ft/sec2 sec, Att = 6.5 -958.875 ft. v= -171.25 ft/sec, a = 55 ft/sec2 sec, Att = 7.8 ft, v= ft/sec, a = ft/sec2 S= -1124.04 -74.4 94 sec, The velocity is zero when t = i 161.05 sec and when t = i 118.94 secA B A gas enters a piping section AB from the left at density 1.15 kg/m³ and with speed 4 meters/sec. The pipe section has a constant diameter of 10 centimeters. While passing through AB the gas density changes to 0.95 kg/m³. Determine the speed with which the gas exits section AB in meters/sec. Assume steady flow and use the continuity equation. Your answer should include at least 2 digits after the decimal place.The position of an object moving along an x axis is given by x = 3t - 4t? + t, where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity for the time interval from t = 2 s tot = 4 s? (g) Graph x versus t for 0TOPIC: 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 YOUThe brake mechanism used to reduce recoil in certaintypes of gun consists essentially of a piston attachedto the barrel and moving in fixed cylinder filled with oil.As the barrel recoils with initial velocity v0, the pistonmoves and oil is forced through orifices in the piston,causing the piston and the barrel to decelerate at arate proportional to their velocity; that is, a = -kv.Express a) v in terms of t, b) x in terms of t, c) v interms of x. Draw the corresponding motion curves.SEE MORE QUESTIONSRecommended textbooks for youElements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill EducationControl Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEYElements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill EducationControl Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY