A particle moves in a straight line with the velocity as shown in. At `t=0 ,x=-16 m`,
.

Options

A. The maximum value of the position coordinate of the particle is 54 m.
B. The maximum value of the position coordinate of the particle 36 m.
C. The particle is at the position of 36 m at `t=18s`.
D. The particle is at the position of 36 m at `t=30s`

Answer

A, C, D

Explanation

Maximum value of position coordinate`=` initial coordinate `+` area under graph up to `t=24s` (as up to `t=24` s the displacement of the particle will be positive)
Maximum value of position coordinate
`-16+[(2xx10)+((2+6)/(2))xx(18-10)+(1xx6)/(2)xx(24-18)]`