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At the topmost point of a projectile tra...

At the topmost point of a projectile trajectory, its velocity and acceleration are an angle of

A

`0^(@)`

B

`45^(@)`

C

`90^(@)`

D

`180^(@)`

Text Solution

AI Generated Solution

The correct Answer is:
**Step-by-Step Solution:** 1. **Understanding the Problem:** At the topmost point of a projectile's trajectory, we need to analyze the velocity and acceleration vectors. The question asks for the angle between these two vectors. 2. **Analyzing Velocity at the Topmost Point:** At the highest point of the projectile's path, the vertical component of the velocity becomes zero. Therefore, the velocity vector is horizontal at this point. 3. **Analyzing Acceleration:** The only force acting on the projectile (assuming air resistance is negligible) is gravity, which acts downward. Thus, the acceleration vector is directed vertically downward. 4. **Finding the Angle Between Velocity and Acceleration:** Since the velocity vector is horizontal and the acceleration vector is vertical, the angle between them can be determined. The horizontal and vertical components are perpendicular to each other. 5. **Calculating the Angle:** The angle between a horizontal line and a vertical line is 90 degrees. Therefore, the angle between the velocity and acceleration at the topmost point of the projectile's trajectory is 90 degrees. **Final Answer:** The angle between the velocity and acceleration at the topmost point of a projectile's trajectory is 90 degrees. ---
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