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# M2 vectors watch

1. 8) A particle moves along the x-axis with velocity at time t given by v=5t^2+2t.

Find (a) the distance it moves in the 2nd second (b) the distance it moves in the 4th second.

For (a), my textbook has answer 14 2/3m and (b) 68 2/3m

Really confused as to how to achieve these answers.
2. (Original post by Deep456)
8) A particle moves along the x-axis with velocity at time t given by v=5t^2+2t.

Find (a) the distance it moves in the 2nd second (b) the distance it moves in the 4th second.

For (a), my textbook has answer 14 2/3m and (b) 68 2/3m

Really confused as to how to achieve these answers.
When you integrate a velocity you get a displacement.

Integrate the velocity expression you're given between two suitable limits. For example, for part (a) the limits are from t=1 to t=2 (the 2nd second).
3. (Original post by M_E_X)
When you integrate a velocity you get a displacement.

Integrate the velocity expression you're given between two suitable limits. For example, for part (a) the limits are from t=1 to t=2 (the 2nd second).
Ah cheers.

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