# Physics

A football quarterback shows off his skill by throwing a pass 45.90 m downfield and into a bucket. The quarterback consistently launches the ball at 40.00 ∘ above horizontal, and the bucket is placed at the same level from which the ball is thrown.
What initial speed is needed so that the ball lands in the bucket?

1. 👍 0
2. 👎 0
3. 👁 390
1. s = speed

45.9 = u T
where
u = s cos 40
so
T = 45.9 /(s cos 40) where T is time aloft

rise time is half T or t = T/2
v = Vi - g t
Vi = s sin 40
at top v = 0
s sin 40 = 9.81 t = 9.81[45.9/(2s cos 40]
or
2 s^2 sin 40 cos 40 = 9.81*45.9

remember trig now

1. 👍 0
2. 👎 0
posted by Damon
2. 6

1. 👍 0
2. 👎 0
3. Similarly, when you solve for m = 46, you get:

2 s^2 sin 40 cos 40 = 9.81*46
s = 21.40 m/s

You're welcome.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Physics

Please help me, I am in dire need of it, A football quarterback shows off his skill by throwing a pass {5.70 m downfield and into a bucket. The quarterback consis- tently launches the ball at 38.00' above horizontal, and the

asked by Kristi on October 9, 2017
2. ### Physics

Please help me, I am in dire need of it, A football quarterback shows off his skill by throwing a pass {5.70 m downfield and into a bucket. The quarterback consis- tently launches the ball at 38.00' above horizontal, and the

asked by Kristi on October 10, 2017
3. ### Math

The quarterback of a football team releases a pass at a heights of 7 feet above the playing field, and the football is caught at a height of 4 feet, 30 yards directly downfield. The pass is released at an angle of 35 degrees with

asked by Brittany on April 21, 2014
4. ### Precalculus

The quarterback of a football team releases a pass at a height of 7 feet above the playing field, and the football is caught at a height of 4 feet, 30 yards directly downfield. The pass is released at an angle of 35 degrees with

asked by Brittany on April 21, 2014
5. ### Physics

The quarterback of a football team gets off a perfect pass at an angle of 30 degrees with the horizontal. His receiver gathers it in 12.2m downfield from the passer at the same height above ground as the passer's throwing hand. a.

asked by Ryan on May 31, 2016
6. ### Physics

Tom Brady (the Patriots’ quarterback) throws a football – at a speed of 30 mph at an angle of 50 degrees to the horizontal – toward an intended receiver 20 yd straight downfield behind the goal-line. The pass is released 7.5

asked by Bob on April 29, 2012
7. ### Physics

An 80- quarterback jumps straight up in the air right before throwing a 0.43- football horizontally at 15 . How fast will he be moving backward just after releasing the ball? Suppose that the quarterback takes 0.30 to return to

8. ### English

Identify the correctly punctuated sentence. a. Throwing the football, is difficult for some people. b. Throwing the football, he pulled a muscle in his arm.*** c. Throwing, the football, kicking field goals and tackling are all

asked by Kaai97 on December 9, 2015
9. ### Physics

Tom Brady passes a football – at a velocity of 50 ft/s at an angle of 40 degrees to the horizontal – toward an intended receiver 30 yd straight downfield. The pass is released 5 ft above the ground. Assume that the receiver is

asked by Rob on April 25, 2011