Kinematics of Particle (KOP) - General Questions (2)

A boat is traveling along a circular path having a radius of 20 m. Determine the magnitude of the boat's acceleration if at a given instant the boat's speed is v = 5 m/s and the rate of increase in speed is v = 2 m/s².

A particle is moving along a straight line through a fluid medium such that its speed is measured as v = (2t) m/s, where t is in seconds. If it is released from rest at s = 0, determine its positions and acceleration when t = 3 s.

A car is traveling along the circular curve of radius r = 300 ft. At the instant shown, its angular rate of rotation is  = 0.4 rad / s, which is increasing at the rate of  = 0.2 rad / s². Determine the magnitude of the velocity of the car at this instant.

A car travels up a hill with the speed shown in the graph. Compute the total distance the car moves until it stops at t = 60 s. What is the acceleration at t = 45 s?

The mine car is being pulled up to the inclined plane using the motor M and the rope-and-pulley arragement shown. Determine the speed v_p at which a point P on the cable must be traveling toward the motor to move the the car up the plane with a constant speed of v = 5 m/s.

A car is traveling along the circular curve of radius r = 300 ft. At the instant shown, its angular rate of rotation is  = 0.4 rad / s, which is increasing at the rate of  = 0.2 rad / s². Determine the magnitude of the acceleration of the car at this instant.

A ball is thrown downward on the 30° inclined plane so that when it rebounds perpendicular to the incline it has a velocity of v_A = 40 ft/s. Determine the distance R where it strikes the plane at B.

When the motorcyclist is at A he increases his speed along the vertical circular parth at the rate of v = (0.3t)ft/s², where t is in seconds. If he starts from rest when he is at A, determine his velocity and acceleration when he reaches B.