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Hello students.
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For part a, we want to define displacement, velocity and acceleration.
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That is, displacement.
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A displacement is a vector quantity whose magnitude is defined as the shortest distance from the initial to final position of the particle.
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Its direction is defined from initial position of the particle to final position of particle.
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Then velocity.
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The rate of change of displacement vector with respect to time is the velocity of particle.
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It is a vector quantity.
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And acceleration.
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The rate of change of displacement vector vector.
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Velocity vector with respect to time is the acceleration of particle now for part b we know that acceleration a equal to rate of change of velocity that is dv by d t this can be written as a d t equal to dv on integration we get integral zero to t adt equal to integral v0 to v v dv, that is 8th t equal to v0 minus v.
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From this we can find a as a equal to v0 minus v by t and also we can find v as that is v equal to v0 plus 80.
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Now we have the equation x equal to v0 t plus 80.
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Now we have the equation x equal to v0 t plus half 80 squared.
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Substitute the value of a in here, that is x equal to v0 t plus half into v minus v0 by t into t square...