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A car has an increasing speed at rate of 1.5m/s2 as it rounds a curve. What is the radius of curvature at a point when the speed of the car is 60kph and the magnitude of the total acceleration is 4m/s2?


A car is driving at a speed of 80mph in a circular track with radius of 1500ft. The driver applied brakes to decelerate the car and after 6 seconds, the speed decreases to half the original speed. What is the acceleration of the car at the instant after the brakes have been applied?


What is the horizontal range of a projectile if the object is fired from a building 400m high and has initial velocity of 350m/s? The angle of elevation of the projectile is 250.


A gun has fired at a moving target. The bullet has a muzzle velocity of 1200 ft/s. The gun and the target are both on level ground, with target moving 60 mph away from the gun have a distance of 30,000 ft from the gun the moment the bullet was fired. What is the angle of the projectile needed to hit the target?


Water is flowing inside a loop as shown in the figure below. The elevations of all three nodes “A”, “B” and “C” are the same. The table below gives the information about lengths, diameters and friction factors of the three pipes of this loop. At node “A”, the inflow is 25 kg/s. At node “B”, the outflow is 10 kg/s. At node “C”, the outflow is 15 kg/s. Take density (�) of water as 1000 kg/m3 and “g” as 10 m/s2 . a) Apply the Hardy-cross iterative method to calculate the mass flow rates in all three pipes (mAB=?, mBC=?, mAC=?) 


A springboard diver of weight 582 N stands at one end of a uniform 4.48 m diving board of weight 142 N. The board is attached to two pedestals, one at the other end of the board and the second pedestal 1.55 m from the first. Find the force in each of the two pedestals.
A beam is carried by three workers, one at one end and the other two supporting the beam between them on a crosspiece is placed. Neglect the mass of the crosspiece.
A 10 m beam of mass of 300 kg extends over a ledge. The beam is not held down but simply rests on the surface. A 60 kg student has positioned the beam so that he can walk to the end of it. How far form the edge of the ledge can the beam extend?
A 3.0 m long light ( massless) board is supported at each end by cables. A painter weighing 900 N stands 1.0 m from the left cable. Calculate the tension in each cable.
A 160 cm tall person lies on a light ( massless) board which is supported by two weighing scales, one under the feet and one beneath the top of the head. The two scales read, respectively, 29.4 and 32.8 kg. Where is the center of gravity of this person?
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