Answer:
Horizontal displacement (
-coordinate): approximately
.
Vertical displacement (
-coordinate): approximately
.
Assumption:
and air resistance on the projectile is negligible.
Step-by-step explanation:
Under the assumptions, the projectile would travel at a constant horizontal velocity, while accelerating downward with a constant vertical acceleration of
.
The position of the projectile at the given time
after launch can be found in the following steps:
- Find initial horizontal and vertical components of velocity,
and
. - Apply the SUVAT equation
to find the vertical displacement
(
-coordinate) of the projectile at the given time.
- Since horizontal velocity of the projectile is constant, find the horizontal position (
-coordinate) of the projectile at the given time using the equation
.
Given that the projectile was launched at
at
above the horizontal, the horizontal and vertical components of initial velocity would be:
Initial horizontal velocity:
.
Initial vertical velocity:
.
To find the vertical displacement (
-coordinate) of the projectile at the given time, substitute
,
, and
into the SUVAT equation
:
.
(Rounded to three significant figures.)
Since the horizontal velocity of the projectile is constant, horizontal displacement (coordinate) of the projectile can be found using the equation
:
.
(Rounded to three significant figures.)