:If speed is equal to 35 mph, then perception reaction distance would be 200 ft 129 ft O 125 ft O
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- Given the v-t diagram, determine the acceleration in ft/s^2 and distance covered in feet at 12s.The position of a particle according to the appropriate coordinate set can be vectorially specified in meters as r=i(sin2πt)-16j(1-e^(-t/4)+k(t^2/4) where it is the movement time of particle in seconds after passing its origin. If the mass of the particle is 6kg calculate the x component of its R force and the magnitude of its resultant force R at time t = 4s.at a certain instant, two cars x and y are 2000 ft apart. At this instant, x has a speed of 15 mi/hr and accelerating at 3 ft/s while Y is moving towards X at a speed of 30 mi/hr and accelerating at 2 ft/s^2. When will the two cars meet
- A 60-g steel sphere attached to a 200-mm cord can swing about point O in a vertical plane. It is subjected to its own weight and to a force F exerted by a small magnet embedded in the ground.The magnitude of that force expressed in newtons is F= 3000/r2 , where r is the distance from the magnet to the sphere expressed in millimeters. Knowing that the sphere is released from rest at A , determine its speed as it passes through point B.2. A particle moves along a straight line with the equation x=16t+4t2-3t3 where x is the distance in ft and t is the time in second. Compute the acceleration of the particle after 2 seconds?A 15 ft long , 6 ft rectangular tank open to the atmospher is towed by a truck on a level road. The tank is filled with water to a depth of 5 ft. Determine the maximum acceleration or deceleration in ft/s^2 allowed if no water is to spill during towing. Show the free body diagram. a.5.23 b.4.29 c.6.45 d.7.02
- The angle of intersection of a circular cone is 38 degrees 30’. Determine the superelevation required for an 80 kph speed of the external distance is 14.02 m. Use f=0.21 (Present the derivation of radius formula given the external distance of a simple cone.Determine the rotational speed of a car wheel if the car is translating along at a speed of 90 km/h. The radius of the wheel is 400 mm.The velocity of a particle is given by V=25t^2-80t-200, where V is in feet per second and t is in seconds. Plot the Velocity V and acceleration versus time for the first 6 seconds of motion and evaluate the Velocity when acceleration is Zero
- 5. A train changes its speed uniformly from 60mph (miles per hour) to 30mph in a distance of 1500ft. What is the acceleration? Express your answer in ft/s2.A motorcycle starts from rest at t=0 on a circular track of 400m radius. The tangential component of the motorcycle’s acceleration is at = 2+0.2 m/s2.(a) Determine the velocity of the motorcycle at t=10sec(b) Determine the distance the motorcycle has moved along the circular track at t =10sec.(c) Determine the magnitude of its acceleration at t=10secA car traveling at 50 mph observed a block is 80 m ahead. The driver immediately applies the brake and the car decelerating at 10 m/s^2.If the reaction and perception time is 2 seconds, find the distance from the block to the point where the car stops a. 10.28 m. b. 16.45 m. c. 13.44 m. d. 8.22 m.