Determine the absolute value of the velocity of a particle at time t=2s if the particle moves according to the law , with and
A particle moves according to the law with and .Find the velocity vector, acceleration vector, and trajectory of the particle's motion.
The velocity of a particle varies according to the law with . Find the law of motion if at the initial moment t=0 the particle was at origin.
The acceleration of a particle varies according to the law with and . Find the distance from the origin to the point where the particle will be at time t=1s if at t=0 the particle is at origin and has zero velocity.
A train is moving rectilinearly with a velocity . Suddenly an obstacle appears on the tracks and the brakes are applied.Now the velocity of the train changes according to with . What is the breaking distance of the train?How much time must pass from the moment the brakes are applied before the train stops?
A rocket is launched from a land-based site vertically with an acceleration , with . At an altitude 100km above Earth's surface the rocket's boosters fail. How much time will pass (from the moment the boosters failed) before the rocket crashes? Air drag is ignored. The initial velocity is 0.
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