Question

1. the objects k and l are at the same height. when object k is thrown horizontally, object l falls freely from rest.

what will the motion of object k be with respect to object l?
a) uniform linear motion.
b) horizontal projectile motion.
c) free fall.
d) vertically downward motion with an initial velocity.
e) motion with constant acceleration along the horizontal axis.

Explanation:

Step1: Analyze vertical motion

For vertical motion, for object \(K\) (horizontal - projectile), the vertical - motion equation is \(y = v_{0y}t+\frac{1}{2}gt^{2}\), where \(v_{0y} = 0\) (initial vertical velocity), so \(y=\frac{1}{2}gt^{2}\). For object \(L\) (free - fall), the equation is also \(y=\frac{1}{2}gt^{2}\). So, in the vertical direction, the two objects have the same acceleration \(g\) and the same initial vertical velocity \(v_{0y}=0\).

Step2: Analyze horizontal motion

For object \(K\), in the horizontal direction, there is no acceleration (\(a_x = 0\)), and the horizontal velocity \(v_x\) is constant. The horizontal - displacement equation is \(x = v_{0x}t\) (where \(v_{0x}\) is the initial horizontal velocity of object \(K\)). For object \(L\), in the horizontal direction, \(x = 0\) (no horizontal motion).

From the perspective of object \(L\) (which has no horizontal motion and has the same vertical motion as \(K\)), object \(K\) moves with a constant horizontal velocity.

Answer:

A. Uniform linear motion.