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# Mechanics Question watch

1. A particle starts with velocity 2 ms^-1 and moves with acceleration a = (2+3t) ms^-2

a) Find an expression for v, the velocity of the particle at time t

b) Find the distance travelled by the particle between t=1 s and t=5 s
2. (Original post by ItsTheBlueNinja)
A particle starts with velocity 2 ms^-1 and moves with acceleration a = (2+3t) ms^-2

a) Find an expression for v, the velocity of the particle at time t

b) Find the distance travelled by the particle between t=1 s and t=5 s
Just look in your textbook or something. The relation between displacement, velocity, and acceleration should be known to you by heart for the exam. Use that relationship here.
3. (Original post by ItsTheBlueNinja)
A particle starts with velocity 2 ms^-1 and moves with acceleration a = (2+3t) ms^-2

a) Find an expression for v, the velocity of the particle at time t

b) Find the distance travelled by the particle between t=1 s and t=5 s
a) v=u + at

so at time "t", v=2ms^-1 + t(2+3t)ms^-2

b) s= (u+v/2) i.e. distance

Work out what "u" is i.e. at 1 second
Work out what v is at 5 seconds
Plug it all in to the equation
4. (Original post by frankabagnale)
a) v=u + at

so at time "t", v=2ms^-1 + t(2+3t)ms^-2

b) s= (u+v/2) i.e. distance

Work out what "u" is i.e. at 1 second
Work out what v is at 5 seconds
Plug it all in to the equation
Note that the SUVAT formulas apply only when acceleration is constant. When acceleration is not constant it is necessary to use differentiation to move from S to V to A and integration to move from A to V to S.
5. (Original post by old_engineer)
Note that the SUVAT formulas apply only when acceleration is constant. When acceleration is not constant it is necessary to use differentiation to move from S to V to A and integration to move from A to V to S.
That makes the question very long winded. Surely this isn't an A level Mechanics 1 question?
6. (Original post by frankabagnale)
That makes the question very long winded. Surely this isn't an A level Mechanics 1 question?
I think acceleration that varies with time comes in at M2 in the old modular syllabus.

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