https://file.aiquickdraw.com/mathbot/file/1726190220487r1xrvr3n.jpg

The image shows a projectile motion problem. Here's a breakdown of the questions in the image:

1. **Projectile initial conditions**:  
   - Initial speed: \( v_0 = 25.0 \, \text{m/s} \)  
   - Angle of launch: \( \theta = 37^\circ \)  
   - Initial position: \( (x_0, y_0) = (0, 0) \)  

The questions are as follows:

**(a)** Find the **position** and the **velocity** of the ball at \( t = 2.00 \, \text{s} \).

**(b)** Find the **time** when the ball reaches the **highest point** of its flight and the **height** at this point.

**(c)** Find the **total time** of flight.

**(d)** Find the **horizontal range** \( R \).

Would you like me to solve all parts of the problem or specific ones?

The projectile is fired with an initial speed of 25.0 m/s oriented at 37° above the horizontal. (a) Find the position and velocity of the ball when t = 2.00 s. (b) Find the time when the ball reaches the highest point of its flight and height at this point. (c) Find the total time of flight. (d) Find the horizontal range R.

Solve a physics problem involving projectile motion where a ball is fired with an initial speed of 25.0 m/s at an angle of 37°. Learn how to find the position, velocity, time to the highest point, total time of flight, and horizontal range. Suitable for Grade 11-12 and introductory college physics.

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