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dynamics Dynamics 2

A van travels along a straight road with a velocity described by the graph. Construct the s-t and a-t graphs during the same period. Take s=0 when t=0.

A particle is traveling along the parabolic path y=.25x^2 If x=2t^2 m, where t is in seconds, determine the magnitude of the particle's velocity and acceleration when t=2 s.

Determine the speed at which the basketball at A must be thrown at the angle of 30 degrees so that it makes it to the basket at B.

The pitcher throws the baseball horizontally whith a speed of 130 ft/s from a height of 5 ft. If the batter is 60 ft away, determine the time for the ball to arrive at the batter. Determine the height h at which it passes the batter.

The football is kicked over the goalpost with an initial velocity of 80 ft/s as shown. Determine the point B (x,y) where it strikes the bleachers.

What is the acceleration's direction at moment 5? What are the directions of the bob's accelerations at moments 0 and 10? Reference the compass rose and enter the letter that identifies the direction of delta v, the volocity change. Enter Z if the acceleration vector has zero length.

The automobile has speed of 60 ft/s at point A and an acceleration having a magnitude of 10 ft/s^2, acting in the direction shown. Determine the radius of curvature of the path at point A. Determine the tangential component of acceleration.

The train passes point A with a speed of 30 m/s and begins to decrease its speed at a constant rate of a=-.25 m/s^2 . Determine the magnitude of the acceleration of the train when it reaches point B, where S_ab_= 412 m.

A particle is traveling along the parabolic path y=.25x^2 If x=2t^2 m, where t is in seconds, determine the magnitude of the particle's velocity and acceleration when t=2 s.

Determine the speed at which the basketball at A must be thrown at the angle of 30 degrees so that it makes it to the basket at B.

The pitcher throws the baseball horizontally whith a speed of 130 ft/s from a height of 5 ft. If the batter is 60 ft away, determine the time for the ball to arrive at the batter. Determine the height h at which it passes the batter.

The football is kicked over the goalpost with an initial velocity of 80 ft/s as shown. Determine the point B (x,y) where it strikes the bleachers.

What is the acceleration's direction at moment 5? What are the directions of the bob's accelerations at moments 0 and 10? Reference the compass rose and enter the letter that identifies the direction of delta v, the volocity change. Enter Z if the acceleration vector has zero length.

The automobile has speed of 60 ft/s at point A and an acceleration having a magnitude of 10 ft/s^2, acting in the direction shown. Determine the radius of curvature of the path at point A. Determine the tangential component of acceleration.

The train passes point A with a speed of 30 m/s and begins to decrease its speed at a constant rate of a=-.25 m/s^2 . Determine the magnitude of the acceleration of the train when it reaches point B, where S_ab_= 412 m.

A toboggan is traveling down along a curve which can be approximated by the parabola y=.01(x^2). Determine the magnitude of its acceleration when it reaches point A, where its speed is V_a_=10 m/s, and it is increasing at the rate of a_t_=3 m/s^2.

The car travels along the circular path such that its speed is increased by a_t_=(.5(e^t)) m/s^2, where t is in seconds. Determine the magnitudes of its velocity and acceleration after the car has traveled s=18 m starting from rest. Neglect the size of the car.

The box of negligible size is sliding down along a curved path defined by the parabola y=.4(x^2). When it is at A(x=2 m, y=1.6 m), the speed is v_b_=8 m/s and the increase in speed is dv/dt=4 m/s^2. Determine the magnitude of the acceleration of the box at this instant.

The driver of the car maintains a constant speed of 40 m/s. Determine the angular velocity of the camera tracking the car when theta = 15 degrees.

Determine the speed of cylinder A, if the rope is drawn towards the motor M at a constant rate of 7 m/s.

The car is traveling at a constant speed of 100 km/h. If the rain is falling 6 m/s in the direction shown, determine the direction of the velocity of the rain as seen by the driver. Determine the magnitude of the velocity as seen by the driver.

Ball A is released from rest at a height of 40 ft at the same time that ball B is thrown upward, 5 ft from the ground. The balls pass one another at a height of 20 ft. Find the speed at which ball B was thrown upward.

Given the s-t graph for a sports car moving along a straight road, Find the v-t graph over the time interval shown.

The car travels along the circular path such that its speed is increased by a_t_=(.5(e^t)) m/s^2, where t is in seconds. Determine the magnitudes of its velocity and acceleration after the car has traveled s=18 m starting from rest. Neglect the size of the car.

The box of negligible size is sliding down along a curved path defined by the parabola y=.4(x^2). When it is at A(x=2 m, y=1.6 m), the speed is v_b_=8 m/s and the increase in speed is dv/dt=4 m/s^2. Determine the magnitude of the acceleration of the box at this instant.

The driver of the car maintains a constant speed of 40 m/s. Determine the angular velocity of the camera tracking the car when theta = 15 degrees.

Determine the speed of cylinder A, if the rope is drawn towards the motor M at a constant rate of 7 m/s.

The car is traveling at a constant speed of 100 km/h. If the rain is falling 6 m/s in the direction shown, determine the direction of the velocity of the rain as seen by the driver. Determine the magnitude of the velocity as seen by the driver.

Ball A is released from rest at a height of 40 ft at the same time that ball B is thrown upward, 5 ft from the ground. The balls pass one another at a height of 20 ft. Find the speed at which ball B was thrown upward.

Given the s-t graph for a sports car moving along a straight road, Find the v-t graph over the time interval shown.

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.

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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