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# Engineering Mechanics - Kinematics of Particle (KOP)

### Exercise

• General Questions
"I do not seek. I find."
- Pablo Picasso
1.

A race car starting from rest moves along a straight track with an acceleration as shown in the graph (where for t 10 s, a = 8 m/s2). Determine the time t for the car to reach a speed of 50 m/s.

 A. t = 11.25 s B. t = 6.25 s C. t = 12.5 s D. t = 3.53 s

2.

A two-stage missile is fired vertically from rest with an acceleration as shown in the graph. In 15 s the first stage A burns out and the second stage B ignites. How fast is the rocket moving and how far has it gone at t = 20 s? How fast is the missile moving and how far has it gone at t = 20 s?

 A. v = 430 m/s, s = 4.30 km B. v = 395 m/s, s = 3.69 km C. v = 360 m/s, s = 3.60 km D. v = 500 m/s, s = 5.00 km

3.

The cylindrical cam C is held fixed while the rod AB and bearings E and F rotate about the vertical axis of the cam at a constant rate of = 4 rad/s. If the rod is free to slide through the bearings, determine the magnitudes of the velocity and acceleration of the guide D on the rod as a function of . The guide follows the groove in the cam, and the groove is defined by the equations r = 0.25 ft and z = (0.25 cos ) ft.

 A. B. v = cos ft/s, a = 4.00 sin ft/s2 C. v = sin ft/s, a = 4.00 cos ft/s2 D. v = 1.000 ft/s, a = 4.00 ft/s2

4.

If the hoist H is moving upward at 6 ft/s, determine the speed at which the motor M must draw in the supporting cable.

 A. VP/H = 6 ft/s B. VP/H = 2 ft/s C. VP/H = 12 ft/s D. VP/H = 18 ft/s

5.

A package is dropped from the plane which is flying with a constant horizontal velocity of vA = 150 ft/s at a height h = 1500 ft. Determine the radius of curvature of the path of the package just after it is released from plane at A.

 A. 2 = 9860 ft B. 2 = 3000 ft C. 2 = 1500 ft D. 2 = 8510 ft