Question

The x axis of a trajectory represents its ____________.

Height in the vertical direction.
Displacement in the horizontal direction(my guess)
Longitude
Latitude

A person throws a rock horizontally off a cliff ata a speed of 9 m/s from a point 64.8 m above the ground. How long is the rock in the air?
13.2 s
26.4 s
3.64 s
5.14 s

A package falls from an airplane in level flight at constant speed. If air resistance can be neglected, how does the motion of the package look to the pilot.
The package appears to travel in the shape of a parabola.
The package appears to fall straight downward.
The package appears to travel backward.
The package appears to fall backward and downward.

A paintball is shot horizontally in the positive x direction. At time Trianglet after the ball is shot, it is 4 cm to the right and 4cm below it’s starting point. At time 2trianglet, what is the position of the ball relative to it’s starting point. Ignore air resistance.
12 cm to the right and 16 cm below
8cm to the right and 8 cm below
12 cm to the right and 8 cm below
8 cm to the right and 16 cm below

Please help me solve and give correct answers!

Answer 1

#1

The x axis of the trajectory will show the displacement in X direction only

So it is the Horizontal range

Correct answer would be

Displacement in the horizontal direction(my guess)

2

The stone is projected horizontally at height 64.8 m

now we can use kinematics in Y direction

`\Delta y = v_y * t +(1)/(2) gt^2`

now we have

`64.8 = 0 + (1)/(2)*9.8*t^2`

`t = 3.64 s`

so here it will fall in the air for time t = 3.64 s