Question

test your understanding
q5.1 given the information above, which equation or equations, would you be left with to describe the horizontal (x) motion of a projectile?
a. $v = v_0+at$
b. $v_{0x}=v + at^2$
c. $delta x = v_{0x}$
d. $v = v_{0x}+2adelta x$
e. $delta x=\frac{v - v_0}{2}t$
f. $delta x = v_{0x}t$
g. $v_{x}^{2}=v_{0x}^{2}+2adelta x$
h. $delta x = v_0t+\frac{1}{2}at^{2}$

Explanation:

Step1: Recall horizontal - motion of projectile

In the horizontal direction of projectile motion, there is no acceleration ($a_x = 0$) in the absence of air - resistance. The initial horizontal velocity $v_{0x}$ remains constant.

Step2: Analyze kinematic equations

The kinematic equation for horizontal displacement $\Delta x$ with constant horizontal velocity $v_{0x}$ is $\Delta x=v_{0x}t$.

Answer:

f. $\Delta x = v_{0x}t$