How Far and Fast Must a Receiver Run to Catch a Football?

  • Thread starter neochris
  • Start date
  • Tags
    Motion
S. In summary, a quarterback throws a ball 18 m/s at an angle of 35 degrees above the horizontal. The receiver, standing 18 m away, must run at a speed of 18 m/s to catch the ball as it reaches the same spot at the same time. This is assuming no outside forces and a delta Y of 0.
  • #1
neochris
3
0
A quarter back throws a ball 18 m/s at an angle of 35 degrees above the horizontal. Standing 18 m away is the receiver. How far does the receiver have to go and at what speed must he travel to catch the ball.

Assume that the delta Y is 0.
Assume that the receiver leaves the same time the ball is thrown.
No outside forces.
 
Physics news on Phys.org
  • #2
I think this belongs in the homework help section. It's a two-part problem, you'll notice. For the first part, ignore the receiver, and just figure out where the ball is going and when it will get there. You should have an equation (or several) to get that answer.

Then, figure out how far the receiver has to go, how long she has to get there, and thus how fast she needs to run to get there. That's just a one-dimensional kinematics problem, and with no acceleration, so that part's easy.

P
 

1. What is 2 dimensional motion?

2 dimensional motion is the movement of an object in a two-dimensional space, such as on a flat surface. This includes motion in both the x and y directions.

2. What are the equations used to solve 2 dimensional motion problems?

The equations used to solve 2 dimensional motion problems are the same as those used for 1 dimensional motion, but applied separately to the x and y directions. These equations include distance = velocity x time, velocity = initial velocity + acceleration x time, and acceleration = (final velocity - initial velocity) / time.

3. How do you determine the direction of motion in 2 dimensions?

The direction of motion in 2 dimensions is determined by the angle of the object's velocity vector. This can be found by using trigonometric functions, such as sine and cosine, with the object's x and y components of velocity.

4. Can you solve 2 dimensional motion problems without knowing the acceleration?

Yes, it is possible to solve 2 dimensional motion problems without knowing the acceleration. This can be done by using the equations for displacement and velocity, as well as the object's initial and final positions and velocities.

5. What are some real-life examples of 2 dimensional motion?

Some real-life examples of 2 dimensional motion include a ball rolling off a table, a car driving on a curved road, and a plane taking off from a runway. In each of these examples, the object is moving in both the x and y directions simultaneously.

Similar threads

Replies
6
Views
712
  • Introductory Physics Homework Help
Replies
9
Views
4K
  • Introductory Physics Homework Help
Replies
5
Views
5K
  • Introductory Physics Homework Help
Replies
6
Views
966
Replies
56
Views
4K
  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Engineering and Comp Sci Homework Help
Replies
9
Views
2K
  • Introductory Physics Homework Help
Replies
6
Views
5K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Precalculus Mathematics Homework Help
Replies
1
Views
2K
Back
Top