The quarterback of a football team releases a pass at a height of 6 feet above the playing field, and the football is caught by a receiver 34 yards directly downfield at a height of 3 feet. The pass is released at an angle of $45 ^ { \circ } \text { with the horizontal. Find the time in seconds the receiver has }$ to reach the proper position after the quarterback releases the football. Round your answer to one Decimal place.
A)0.8 second
B)4.6 seconds
C)7.8 seconds
D)1.3 seconds
E)2.6 seconds

Question

Quizplus · Accepted Answer

The horizontal distance is 34 yards (102 feet). Using the formula for projectile motion and the given angle, the time of flight is calculated using the horizontal component of velocity. Solving for time gives approximately 2.6 seconds.

The Quarterback of a Football Team Releases a Pass at a Height