The Work Done by the Force $\mathbf { F } ( x , y ) = 3 y \mathbf { i } + 4 x \mathbf { j }$

Multiple Choice

The work done by the force $\mathbf { F } ( x , y ) = 3 y \mathbf { i } + 4 x \mathbf { j }$ moving along $\mathbf { r } ( t ) = 2 t ^ { 2 } \mathbf { i } - t \mathbf { j }$ with $0 \leq t \leq 1$ is

A) $- \frac { 20 } { 7 }$
B) $\frac { 20 } { 7 }$
C) $- \frac { 20 } { 3 }$
D) $\frac { 20 } { 3 }$
E) 5
4