Chapter 6, Problem 41A

(a)

To determine

The point where the magnitude of the vertical velocity component is largest.

Answer to Problem 41A

E

Explanation of Solution

At point E, the vertical component is largest. This is because the vertical velocity component varies the height. When the cannonball was fired, the vertical velocity kept on decreasing until reaching the highest point where it became zero and thereby increasing. The vertical component of velocity was same at A and D and largest at E.

Conclusion:

The vertical component of velocity is largest at E.

(b)

To determine

The point where the magnitude of the horizontal velocity component is largest.

Answer to Problem 41A

Same at all points

Explanation of Solution

The air resistance if neglected, the horizontal component of velocity would be same at all points. This is because there is no acceleration in the horizontal direction.

Conclusion:

Hence, the horizontal component of velocity is same at all points.

(c)

To determine

The point where the magnitude of the vertical velocity component is smallest.

Answer to Problem 41A

B

Explanation of Solution

When the cannonball was fired, the vertical velocity kept on decreasing until reaching the highest point where it became zero and thereby increasing. The component is smallest at point B because after that the cannonball starts descending thereby increasing the velocity.

Conclusion:

Hence, at point B, the vertical component of the velocity is the smallest.

(d)

To determine

The point where the magnitude of acceleration is smallest.

Answer to Problem 41A

Same at all points

Explanation of Solution

Throughout the trajectory of the cannonball, only acceleration due to gravity acts on it. Thus, at all points, the acceleration is same.

Conclusion:

The magnitude of acceleration is same all points.