The distance, in miles, from me to a moving train is given by $$D ( t ) = \sqrt { ( 30 t ) ^ { 2 } + ( 5 - 30 t ) ^ { 2 } } .$$ Here represents hours since I heard the train whistle. Calculate the distance to the train 6 hours after I heard the whistle.
A) 5 miles
B) 251.05 miles
C) 63025 miles
D) 178.06 miles

Question

The distance, in miles, from me to a moving train is given by $$D ( t ) = \sqrt { ( 30 t ) ^ { 2 } + ( 5 - 30 t ) ^ { 2 } } .$$ Here  represents hours since I heard the train whistle. Calculate the distance to the train 6 hours after I heard the whistle.
A) 5 miles 
B) 251.05 miles 
C) 63025 miles 
D) 178.06 miles

Quizplus · Accepted Answer

The Answer of The distance, in miles, from me to a moving train is given by $$D ( t ) = \sqrt { ( 30 t ) ^ { 2 } + ( 5 - 30 t ) ^ { 2 } } .$$ Here  represents hours since I heard the train whistle. Calculate the distance to the train 6 hours after I heard the whistle.
A) 5 miles 
B) 251.05 miles 
C) 63025 miles 
D) 178.06 miles

The Distance, in Miles, from Me to a Moving Train D(t)=(30t)2+(5−30t)2.D ( t ) = \sqrt { ( 30 t ) ^ { 2 } + ( 5 - 30 t ) ^ { 2 } } .D(t)=(30t)2+(5−30t)2​.

The Distance, in Miles, from Me to a Moving Train $D ( t ) = \sqrt { ( 30 t ) ^ { 2 } + ( 5 - 30 t ) ^ { 2 } } .$