An object is fired into the air from a height of $250$ meters and follows a path given by the vector valued function

r$($t$)=$

$75$t$,250+55$t $4\mathrm{.}9$t$2$

where the x and y components are measured in meters and time t is measured in seconds.Answer the following questions. Round all answers to one decimal digit. Include correct units $($if appropriate$).$

What is the angle at which the object was fired into the air?

degrees

What is the maximum height $($above the ground$)$ the object reaches?

What is the speed of the object at the instant it hits the ground?

What is the total distance this object traveled from the moment it was fired to the moment it hit the ground?