A baseball is hit 5 feet above the ground at 140 feet per second and at an angle of $\text { of } 45 ^ { \circ }$ with respect to the ground. Find the vector-valued function for the path of the baseball.
A) $\mathbf { r } ( t ) = ( 140 t \sqrt { 2 } ) \mathbf { i } + \left( 5 - 140 t \sqrt { 2 } - 32 t ^ { 2 } \right) \mathbf { j }$
B) $\mathbf { r } ( t ) = ( 70 t \sqrt { 2 } ) \mathbf { i } + \left( 5 - 70 t \sqrt { 2 } + 32 t ^ { 2 } \right) \mathbf { j }$
C) $\mathbf { r } ( t ) = ( 140 t \sqrt { 2 } ) \mathbf { i } + \left( 5 + 140 t \sqrt { 2 } + 16 t ^ { 2 } \right) \mathbf { j }$
D) $\mathbf { r } ( t ) = ( 70 t \sqrt { 2 } ) \mathbf { i } + \left( 5 + 70 t \sqrt { 2 } - 16 t ^ { 2 } \right) \mathbf { j }$
E) $\mathbf { r } ( t ) = ( 70 t \sqrt { 2 } ) \mathbf { i } + \left( 5 - 70 t \sqrt { 2 } + 16 t ^ { 2 } \right) \mathbf { j }$

Question

A baseball is hit 5 feet above the ground at 140 feet per second and at an angle of $\text { of } 45 ^ { \circ }$ with respect to the ground. Find the vector-valued function for the path of the baseball. 
A) $\mathbf { r } ( t ) = ( 140 t \sqrt { 2 } ) \mathbf { i } + \left( 5 - 140 t \sqrt { 2 } - 32 t ^ { 2 } \right) \mathbf { j }$
B) $\mathbf { r } ( t ) = ( 70 t \sqrt { 2 } ) \mathbf { i } + \left( 5 - 70 t \sqrt { 2 } + 32 t ^ { 2 } \right) \mathbf { j }$
C) $\mathbf { r } ( t ) = ( 140 t \sqrt { 2 } ) \mathbf { i } + \left( 5 + 140 t \sqrt { 2 } + 16 t ^ { 2 } \right) \mathbf { j }$
D) $\mathbf { r } ( t ) = ( 70 t \sqrt { 2 } ) \mathbf { i } + \left( 5 + 70 t \sqrt { 2 } - 16 t ^ { 2 } \right) \mathbf { j }$
E) $\mathbf { r } ( t ) = ( 70 t \sqrt { 2 } ) \mathbf { i } + \left( 5 - 70 t \sqrt { 2 } + 16 t ^ { 2 } \right) \mathbf { j }$

Quizplus · Accepted Answer

The Answer of A baseball is hit 5 feet above the ground at 140 feet per second and at an angle of $\text { of } 45 ^ { \circ }$ with respect to the ground. Find the vector-valued function for the path of the baseball. 
A) $\mathbf { r } ( t ) = ( 140 t \sqrt { 2 } ) \mathbf { i } + \left( 5 - 140 t \sqrt { 2 } - 32 t ^ { 2 } \right) \mathbf { j }$
B) $\mathbf { r } ( t ) = ( 70 t \sqrt { 2 } ) \mathbf { i } + \left( 5 - 70 t \sqrt { 2 } + 32 t ^ { 2 } \right) \mathbf { j }$
C) $\mathbf { r } ( t ) = ( 140 t \sqrt { 2 } ) \mathbf { i } + \left( 5 + 140 t \sqrt { 2 } + 16 t ^ { 2 } \right) \mathbf { j }$
D) $\mathbf { r } ( t ) = ( 70 t \sqrt { 2 } ) \mathbf { i } + \left( 5 + 70 t \sqrt { 2 } - 16 t ^ { 2 } \right) \mathbf { j }$
E) $\mathbf { r } ( t ) = ( 70 t \sqrt { 2 } ) \mathbf { i } + \left( 5 - 70 t \sqrt { 2 } + 16 t ^ { 2 } \right) \mathbf { j }$

A Baseball Is Hit 5 Feet Above the Ground at 140