-D-
= y
ght=y
with
ise 6:
Motion of a carrot
a rabbit, a boy stands in front of a vertical wall of height H-5m from ground and throws a carrot
wall from a point O at height h-2 m above ground with a launching velocity vector Vo making an
with the horizontal at the instant t.-0. The rabbit is on the other side of the wall (See the figure). In an
rmal reference system (0,i,j), considered as the plane of motion the parametric equations of motion of the
carrot (C) are given by:
x (t) = 5t
y (t)=5t²-15 t x and y are in m and t in s
ermine the equation of the trajectory of (C).
te down the instantaneous expression of:
2-1) The position vector OM
2-2) The velocity vector V of the carrot (C).
2-3) The speed of (C).
2-4) The acceleration vector a of the carrot (C).
Calculate the launching velocity vector Ve at t=0.
Verify that the carrot (C) passes by the point Pof coordinates P (10; -10).!
Determine, upon passing through P:
5-1) The time needed by the carrot to reach the point P
5-2) The speed of (C) at P.
6-1) Determine the instant at which the carrot reaches the maximum point S
6-2) Deduce the coordinates of point S.
6-3) The carrot overpasses the wall. Why?
ermine the instant at which the carrot (C) reaches the ground at the point A?
What are the characteristics of the velocity vector VA at that instant?
If the carrot hits the rabbit. Determine the coordinates of the rabbit.
2m
The Walk
The
A
Same
Coordinates
at the same time
+ x₁ = Xp (atsune
ус =ур
time