1. A. True
2. B. False
3. A. True
4. B. False
5. B. False
6. A. True
7. B. False
Step-by-step explanation:
1. The statement is true. Projectiles are objects that are launched into the air and then follow a curved path under the influence of gravity and air resistance.
2. The statement is false. The horizontal component of the velocity is independent of the vertical component of the velocity, and they can have different values.
3. The statement is true. The formula Vx=Vø tan Ø is the formula for the horizontal component of the initial velocity of a projectile.
4. The statement is false. The velocity of a projectile is directed at an angle to the horizontal, with both horizontal and vertical components.
5. The statement is false. When no air acts on a projectile, its horizontal acceleration is zero, because there is no force acting in the horizontal direction. The vertical acceleration is still due to gravity.
6. The statement is true. A stone thrown into the air follows a curved path under the influence of gravity, making it an example of projectile motion.
7. The statement is false. The time to reach the top of the projectile's path depends on the initial velocity and angle of launch, as well as the acceleration due to gravity. The time to reach the top can be calculated using the formula t = Vy/g, where Vy is the vertical component of the initialvelocity, g is the acceleration due to gravity, and t is the time. Using this formula, the time to reach the top of the projectile's path can be calculated as:
t = Vy/g = Vø sin Ø/g = (100 ft/s)(0.5)/(32.2 ft/s²) = 1.55 s (approx.)
Therefore, the statement is false.