Projectile Motion football pass

[DJey]

Homework Statement

Just started this course, please bare with me, I am not sure what to do, blanked out

Question: A football quarterback attempts a pass to one of the receivers. As the ball is snapped, the receiver leaves the line of scrimmage and runs directly down the field. the quarterback releases the ball 2.0s later and from a position 3.0m behind the line of scrimmage. he throws the ball at a speed of 26m/s at and elevation of 60 degrees above the horizontal. The receiver makes a diving reception, catching the ball just as it reaches the ground.
a) What is the time of flight of the football?
b)what is the average speed of the receiver ?

Homework Equations

The Attempt at a Solution

 

[tiny-tim]

Welcome to PF!

Hi DJey! Welcome to PF!

… please bare with me …

uhh? it's not that sort of forum!

Question: A football quarterback attempts a pass to one of the receivers. As the ball is snapped, the receiver leaves the line of scrimmage and runs directly down the field. the quarterback releases the ball 2.0s later and from a position 3.0m behind the line of scrimmage. he throws the ball at a speed of 26m/s at and elevation of 60 degrees above the horizontal. The receiver makes a diving reception, catching the ball just as it reaches the ground.
a) What is the time of flight of the football?
b)what is the average speed of the receiver ?

Use the standard constant acceleration equations …

show us what you get ​

 

[DJey]

thanks alot,
i know when i said please bare with me i really meant guide me through,

 

[johnsonc007]

You need to find out the time elapsed from the time the ball was thrown until it landed. Using the projectile formula for y, one can solve for t for the time it left until it landed.

y=(Vi)sin(angle)t-1/2gt^2

 

[rwisz]

I would approach this problem by breaking it down into smaller components and using the principles of projectile motion to analyze the situation.

First, we can determine the initial velocity of the football using the given speed and angle of release. Using basic trigonometry, we can calculate the horizontal and vertical components of the velocity. The horizontal component will remain constant throughout the motion, while the vertical component will change due to the force of gravity.

Next, we can use the equations of motion to calculate the time of flight of the football. Since we know the initial vertical velocity, the acceleration due to gravity, and the final vertical position (ground level), we can solve for the time.

a) The time of flight of the football can be calculated using the formula t = (2v*sinθ)/g, where v is the initial velocity and θ is the angle of release. Plugging in the values, we get t = (2*26*sin60)/9.8 = 3.33 seconds.

b) To calculate the average speed of the receiver, we can use the formula v = d/t, where d is the distance traveled and t is the time of flight calculated in part a. The distance traveled by the receiver can be calculated by subtracting the initial position of the football (3.0m) from the final position (ground level). So, d = 0 - 3.0 = -3.0m. Plugging in the values, we get v = -3.0/3.33 = 0.9 m/s.

In conclusion, the time of flight of the football is 3.33 seconds and the average speed of the receiver is 0.9 m/s. These calculations assume an ideal situation with no air resistance or other external factors. In reality, the actual values may differ slightly.