The acceleration of a particle is given by a = 4t – 30, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is s0 = -5m, and the initial velocity is vo = 3m/s

The velocity of the particle is given by , where is in meters per second and is in seconds.

The displacement of the particle is given by , where is in meters and is in seconds.

Explanation:

The acceleration of the particle is given by , the expression for velocities are obtained by integration:

Velocity

Where is the initial velocity of the particle, measured in meters per second.

If and , then:

The velocity of the particle is given by , where is in meters per second and is in seconds.

Displacement

If and , then:

The displacement of the particle is given by , where is in meters and is in seconds.

answer:

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explanation:

answer:

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