Question 119: Motion in 1D

Question

A car covers AB distance with first one-third at velocity v
1
ms
$$-$$1
, second one-third at v
2
ms
$$-$$1
and last one-third at v
3
ms
$$-$$1
. If v
3
= 3v
1
, v
2
= 2v
1
and v
1
= 11 ms
$$-$$1
then the average velocity of the car is _____________ ms
$$-$$1
.

Accepted Answer

$${v_{mean}} = {{3{v_1}{v_2}{v_3}} \over {{v_1}{v_2} + {v_2}{v_3} + {v_3}{v_1}}}$$
$$ = {{3 	imes 11 	imes 22 	imes 33} \over {11 	imes 22 + 22 	imes 33 + 33 	imes 11}}$$
$$ = 18$$ m/sec

Motion in 1D

A car covers AB distance with first one-third at velocity v 1 ms $-1 , second one-third at v 2 ms -1 and last one-third at v 3 ms -1 . If v 3 = 3v 1 , v 2 = 2v 1 and v 1 = 11 ms -1 then the average velocity of the car is _____________ ms -$1 .

Integer / Numeric Answer Type