A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of 'P' is such that it sweeps out a length $s = t ^ { 3 } + 5$, where $s$ is in metres and $t$ is in seconds. The radius of the path is 20 m. The acceleration of 'P' when $t = 2 \mathrm {~s}$ is nearly (1) $13 \mathrm {~m} / \mathrm { s } ^ { 2 }$ (2) $12 \mathrm {~m} / \mathrm { s } ^ { 2 }$ (3) $7.2 \mathrm {~m} / \mathrm { s } ^ { 2 }$ (4) $14 \mathrm {~m} / \mathrm { s } ^ { 2 }$
A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of 'P' is such that it sweeps out a length $s = t ^ { 3 } + 5$, where $s$ is in metres and $t$ is in seconds. The radius of the path is 20 m. The acceleration of 'P' when $t = 2 \mathrm {~s}$ is nearly\\
(1) $13 \mathrm {~m} / \mathrm { s } ^ { 2 }$\\
(2) $12 \mathrm {~m} / \mathrm { s } ^ { 2 }$\\
(3) $7.2 \mathrm {~m} / \mathrm { s } ^ { 2 }$\\
(4) $14 \mathrm {~m} / \mathrm { s } ^ { 2 }$