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Given the v-t graph shown, find the a-t graph, average speed, and distance traveled for the 0-90 s interval.
The velocity of the particle is v=16(t^2) i + 4(t^3) j + (5t+2) k m/s. When t=0, x=y=z=0. Find the particle's coordinate position and the magnitude of its acceleration when t=2 s.
A Projectile is fired with V=150 m/s at point A. Find the horizontal distance it travels (R) and the time in the air.
A skier leaves the ski jump ramp at theta=25 degrees and hits the slope at B. Find the skier's initial speed.
A boat travels around a circular path, p=40 m, at a speed that increases with time, v=(.0625(t^2)) m/s. Find the magnitudes of the boat's velocity and acceleration at the instant t=10 s.
A roller coaster travels along a vertical parabolic path defined by the equation y=.01(x^2). At point B, it has a speed of 25 m/s, which is increasing at the rate of 3 m/s^2. Find the magnitude of the roller coaster's acceleration when it is at point B.
A car travels along a cirucular path. r=300 ft, theta dot=.4 (rad/s), theta double dot=.2 (rad/s^2). Find velocity and acceleration.
The car's speed is constant at 1.5 m/s. Find the car's acceleration (as a vector).
In the figure on the left, the cord at A is pulled down with a speed of 2 m/s. Find the speed of block B.
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