Which of the following statements are true of the horizontal motion of projectil

Question

Which of the following statements are true of the horizontal motion of projectiles? True or False?

A. A projectile with a rightward component of motion will have a rightward component of acceleration.

B. The horizontal velocity of a projectile changes by 9.8 m/s each second.

C. A projectile with a horizontal component of motion will have a constant

horizontal velocity.

D. The horizontal velocity of a projectile is 0 m/s at the peak of its trajectory.

E. The horizontal velocity of a projectile is unaffected by the vertical velocity; these

two components of motion are independent of each other.

F. The horizontal displacement of a projectile is dependent upon the time of flight

and the initial horizontal velocity.

G. The peak height reached by a projectile depends upon its horizontal velocity.

H. Considering a projectile launched from ground level at a fixed launch angle and

landing at ground level: the horizontal displacement (i.e., the range) of the projectile will always increase as the launch speed is increased.

Explanation / Answer

A ) FALSE : A projectile with a rightward motion (in addition to a vertical motion) will have a constant velocity in the rightward direction. This is to say that it has no horizontal acceleration.

B ) FALSE - A projectile has a constant horizontal velocity. The vertical velocity will change by 9.8 m/s each second.

C )  TRUE - Absolutely true! Projectiles are objects being acted upon by gravity alone. As such, there is a vertical acceleration but no horizontal acceleration. The horizontal velocity of a projectile is either zero or a constant nonzero value.

D ) FALSE - The vertical velocity of a projectile is 0 m/s at the peak of its trajectory; but the horizontal component of the velocity at the peak is whatever the value was when first launched.

E ) TRUE - For any two dimensional motion, perpendicular components of the motion are independent of each other. Any alteration in a vertical component will not effect the horizontal components of motion.

F )  TRUE - The horizontal displacement (x) can be calculated with the formula x = vox • t, where vox is the initial horizontal velocity and t is the time. These are the two variables which effect the horizontal displacement of a projectile.

G ) False - At peak height vertical velocty is zero , horizontal velocity throughout remain cosntant

H ) TRUE - As the launch speed is increased, the components of the initial velocity (both the horizontal and the vertical) increase as well. This causes the projectile to stay in the air for a longer period of time and to be moving faster in the horizontal direction. The result is that increased launch speeds always lead to increased horizontal displacements.

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