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A particle moves along the x-axis. Its position varies with time according to the expression x(t) = -4t + 2t2, where x is in meters and t is in seconds. a) Determine the displacement of the particle in the two time intervals t = 0 to t = 1 s and t = 1 s to t = 3 s. b) Calculate the average velocity during these two time intervals. c) Find the instantaneous velocity of the particle at t = 2.5 s.
If there had been no explosion, the shell would have landed a distance from the mortar. Suppose that air resistance and the mass of the shell's explosive charge are negligible. Determine the distance from the mortar at which the larger piece of th..
A 0.280 kg ball is dropped from rest at a point 1.35m above the floor. The ball rebounds straight upward to a height of 0.780 m. What are the magnitude and direction of impulse of the net force applied to the ball during the collision with the flo..
The magnitude of the force of friction acting on the block between A and is 1.2N and points A and B are 0.5 m apart. If the kinectic energies of the block at A and B are 4J and 5.6 J, respectively, how much work is done on the block by the force p..
Estimate the acceleration of cyclist, and roller coaster.
A hunter aims directly at a target (on the same level) 140 m away.
what is the net workdone on the weights.A child slides down a hill on a toboggan with an acceleration of 1.8 m/s2. If she starts at rest, how far has she traveled after following lengths of time.
Two people, A and B, with masses of 50-kg and 60-kg, correspondingly, stand on a frictionless surface 10m apart. B pulls on a connecting rope, giving A an acceleration of 0.92m/s2 towards B. a) what is B's acceleration toward A.
How far east of his starting point will he reach the opposite bank? What is the magnitude of his velocity relative to the earth.
Water is pumped into a storage tank from a well delivering 17 gallons of water in 33 seconds throughout a pipe of 1.0 in 0.2 cross-sectional area. What is the average velocity of the water in the pipe as the water is pumped from the well?
a support cable runs from the top of the boom to the tractor. The angle between the support cable and the horizontal is 32°, and the angle between the boom and the horizontal is 48°.
A 7.00 kg bowling ball moves at 2.30m/s. How fast must a 2.60g Ping-Pong ball move so that the two balls have the same kinetic energy.
A rotating cylinder about 18km in length and 6km in diameter is designed to be used as a space colony. With what angular speed must it rotate so that residents on it will experience the same acceleration because of gravity on Earth.
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