true or false\ntrue false the horizontal motion of a projectile is constant\ntrue false the vertical…

true or false\ntrue false the horizontal motion of a projectile is constant\ntrue false the vertical velocity at the highest point is the maximum velocity\ntrue false a projectile experiences downward acceleration due to gravity\ntrue false the horizontal motion of projectile depends on the vertical motion\ntrue false the vertical velocity of a straight projectile is increasing downward\ntrue false a ball rolling on the table is a projectile\ntrue false all projectiles are not affected by air resistance

true or false\ntrue false the horizontal motion of a projectile is constant\ntrue false the vertical velocity at the highest point is the maximum velocity\ntrue false a projectile experiences downward acceleration due to gravity\ntrue false the horizontal motion of projectile depends on the vertical motion\ntrue false the vertical velocity of a straight projectile is increasing downward\ntrue false a ball rolling on the table is a projectile\ntrue false all projectiles are not affected by air resistance

Answer

Explanation:

1. The horizontal motion of a projectile is constant

In projectile motion, if we neglect air - resistance, the horizontal acceleration (a_x = 0). Using the equation (v_x=v_{0x}+a_xt), with (a_x = 0), we get (v_x = v_{0x}) (constant). So, this statement is True.

2. The vertical velocity at the highest point is the maximum velocity

At the highest point of a projectile's motion, the vertical velocity (v_y = 0). The vertical velocity is maximum at the initial point of projection (if we consider the upward - motion as positive). So, this statement is False.

3. A projectile experiences downward acceleration due to gravity

The only force acting on a projectile (neglecting air - resistance) is the force of gravity (F = mg) acting downwards. Using Newton's second law (F = ma), we get (a = g) (downward). So, this statement is True.

4. The horizontal motion of projectile depends on the vertical motion

The horizontal and vertical motions of a projectile are independent of each other. The horizontal motion is governed by (x = v_{0x}t) and the vertical motion by (y=v_{0y}t-\frac{1}{2}gt^{2}). There is no common variable (except time (t), but time is just a parameter, not a cause - effect relation between (x) and (y) motion in terms of dependence). So, this statement is False.

5. The vertical velocity of a straight projectile is increasing downward

Using the equation (v_y=v_{0y}-gt) (taking upward as positive). As the projectile moves down ((t) increases for the downward part of the motion), (v_y) (if we consider the magnitude) is increasing because (v_y) (in the downward direction) can be written as (v_y = v_{0y}-gt) (for the full motion, when (t>\frac{v_{0y}}{g}), (v_y) is negative and its magnitude (|v_y|=gt - v_{0y}) which is increasing with (t)). So, this statement is True.

6. A ball rolling on the table is a projectile

A projectile is an object that is given an initial velocity and then follows a path under the influence of gravity alone. A ball rolling on a table has a normal force acting on it (counteracting gravity in the vertical direction) and is not in free - fall. So, this statement is False.

7. All projectiles are not affected by air resistance

In reality, air resistance affects projectiles. The assumption of no - air resistance is a simplification for theoretical analysis. So, this statement is False.

Answer:

  1. True
  2. False
  3. True
  4. False
  5. True
  6. False
  7. False