multi ans. (motion with uni. accn)

Q. The position vector of a particle is given by the relation \vec{r} = \vec{\alpha }(1-\gamma t+\beta t^{2}), where \vec{\alpha } is a constant vector while \beta and \gamma are positive constants. Which of the following statements is true?

(a) Velocity at t=0 is -\gamma \vec{\alpha }
(b) displacement in the first two seconds is \vec{\alpha }(1-2\gamma +4\beta )
(c) Acceleration at t=0 is 2\beta \vec{\alpha }
(d) speed is decreasing with time at t=0

7 Answers

1
Che ·

abc

106
Asish Mahapatra ·

@che: dont think b is true .. check again..

(d) is also true naa?

1
Che ·

acceleration positive at t=0 so speed is increasing at t=0

ya b is not correct..agree with u

1
Avinav Prakash ·

yes asish....me gettin...abd...

b> says displacement not distance......

106
Asish Mahapatra ·

@che. acceleration positive.. direction of vel. is negative... so it serves as to decrease the speed naa?

position at t=2 is what is given in (b)

It is asking displacement.. which is r(2) - r(0)

1
Che ·

a=d2r/dt2 >0 at t=0

so v=dr/dt is an increasing at t=0

hence v is increaing at t=0

so speed is increasing

am i rong with it?

106
Asish Mahapatra ·

may be a fig will help

Your Answer

Close [X]