Projectile motion is a two dimensional motion with constant acceleration. Is this statement true or false?

Explanation

To determine whether the statement "Projectile motion is a two-dimensional motion with constant acceleration" is true or false, we can analyze the components of projectile motion step by step.

### Step 1: Understanding Projectile Motion
Projectile motion refers to the motion of an object that is launched into the air and is subject to the force of gravity. The path followed by the object is called a trajectory, which is typically parabolic in shape.

**Hint:** Recall that projectile motion involves an object moving under the influence of gravity after being projected.

### Step 2: Analyzing the Dimensions
Projectile motion occurs in two dimensions: horizontal (x-direction) and vertical (y-direction). The object moves forward while simultaneously being pulled downward by gravity.

**Hint:** Think about how the object moves both horizontally and vertically at the same time.

### Step 3: Considering Acceleration
In projectile motion, the only acceleration acting on the object is due to gravity, which is approximately constant at about \(9.81 \, \text{m/s}^2\) near the Earth's surface. This acceleration acts downward, affecting the vertical motion of the projectile.

**Hint:** Remember that the acceleration due to gravity does not change significantly for small heights compared to the Earth's radius.

### Step 4: Conclusion
Since projectile motion is indeed a two-dimensional motion (involving both horizontal and vertical components) and it is subject to a constant acceleration (due to gravity), we can conclude that the statement is true.

**Final Answer:** The statement "Projectile motion is a two-dimensional motion with constant acceleration" is **True**.