SOLUTION: A particle starts from rest and travels in a straight line so that t seconds after passing a fixed point O, its acceleration a m/S^2 is given by a=2(3-e^-t) Calculate (a)the v

Question 1155930: A particle starts from rest and travels in a straight line so that t seconds after passing a fixed point O,
its acceleration a m/S^2 is given by a=2(3-e^-t)
Calculate
(a)the velocity of the particle when t=2
(b)the displacement of the particle from O when t=1
Found 2 solutions by rothauserc, ikleyn:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Refer to kinematics of motion equations
:
(a) Since the acceleration is constant and Vi = 0
:
Vf = at
:
Vf = 2(3-e^-2) * 2 = 4(3-e^-2) m/sec
:
(b) Vf = 2(3-e^-2) * 1 = 2(3-e^-2)
:
s = (Vi + Vf)/2 * t
:
s = 2(3-e^-2)/2 * 1 = (3-e^-2) m
:

Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
A particle starts from rest and travels in a straight line so that t seconds after passing a fixed point O,
its acceleration a m/S^2 is given by a=2(3-e^-t)
Calculate
(a)the velocity of the particle when t=2
(b)the displacement of the particle from O when t=1
~~~~~~~~~~~~~~~~

The post by @rothauserc consists of two parts, and both parts are wrong.

The first part is wrong, since @rothausers MISTAKENLY assumes that the acceleration "a" is constant,
on contrary to the given input info.

The second part is wrong because the average speed is half of the sum
of the initial and final speed ONLY for UNIFORMLY accelerated move,

which IS NOT the case.

RELATED QUESTIONS
A particle travelling in a straight line passes a fixed point O with a velocity of 1... (answered by mananth)
A particle travels in a straight line in such a way that; t seconds after passing through (answered by Alan3354)
A particle P travels in a straight line and its distance, s metres, from a fixed point O, (answered by Solver92311)
A particle moves in a straight line so that its distance, s m, from a fixed point A on... (answered by Alan3354)
A particle moves in a straight line so that its distance, s m, from a fixed point A on... (answered by Fombitz)
A particle travels in a straight line in such a way that,t seconds after passing through (answered by Solver92311)
A particle moves in a straight line so that t seconds its distance from the starting... (answered by Alan3354)
A particle travelling in a straight line passes a fixed point O with a velocity of 16... (answered by Edwin McCravy)
A particle P travel in a straight line so that its displacement x meters from a fixed... (answered by Boreal)