# Mechanics Question

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#1
Q. A particle P moves along a straight line such that at time t seconds, t > 0, after leaving the point O on the line, the velocity, v m s–1, of P is modelled as v=(7-2t)(t+2)

(b) Find the distance of P from O at the instant when P changes its direction of motion.

I substituted t=3.5 into the integral of the velocity to find displacement from O at t=3.5 and got 38.79m. Is this correct?
Last edited by Pyruvic Acid; 3 weeks ago
0
3 weeks ago
#2
Looks ok.
2
3 weeks ago
#3
(Original post by Pyruvic Acid)
Q. A particle P moves along a straight line such that at time t seconds, t > 0, after leaving the point O on the line, the velocity, v m s–1, of P is modelled as v=(7-2t)(t+2)

(b) Find the distance of P from O at the instant when P changes its direction of motion.

I substituted t=3.5 into the integral of the velocity to find displacement from O at t=3.5 and got 38.79m. Is this correct?
method is correct (didnt check your ans tho)
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