Question

1. why do objects that are thrown or shot follow a curved path?
2. draw a diagram below to illustrate your answer for question 12.

Explanation:

Question 12

When an object is thrown or shot, it has an initial horizontal velocity (from the throw/shot) and is also acted upon by gravity (which provides a vertical downward acceleration). The horizontal motion (constant velocity, assuming negligible air resistance) and vertical motion (accelerated motion due to gravity) combine. This combination of a constant horizontal velocity and a changing vertical velocity (due to gravity) results in a curved path (projectile motion).

Answer:

Objects thrown or shot follow a curved path (projectile motion) because they have an initial horizontal velocity and are accelerated vertically downward by gravity. The combination of the constant horizontal motion and the accelerated vertical motion (due to gravity) produces the curved trajectory.

Question 13

To draw the diagram for projectile motion (to illustrate the answer for question 12):

1. Draw a coordinate system with the origin at the point of projection.
2. Draw an arrow (labeled \( v_{0x} \)) horizontally to represent the initial horizontal velocity (constant, so the horizontal component of velocity doesn't change in magnitude, assuming no air resistance).
3. Draw an arrow (labeled \( v_{0y} \)) vertically upward to represent the initial vertical velocity (this will decrease due to gravity, become zero at the peak, then reverse direction and increase downward).
4. Sketch the curved path (parabola) of the projectile. The path starts at the origin, rises to a peak, then falls back down. At the peak, the vertical velocity component is zero, and the horizontal velocity component remains \( v_{0x} \). You can also mark the acceleration vector (\( \vec{a} = -g\hat{j} \), where \( g \) is acceleration due to gravity) as a downward arrow at different points along the path to show that gravity is acting downward throughout the motion.

(Note: Since this is a text - based response, a rough description of the diagram is provided. In a hand - drawn diagram, you would use a graph paper - like setup with axes, velocity vectors, and the parabolic trajectory.)