Let 
denote the rocket's position, velocity, and acceleration vectors at time 
.
We're given its initial position
and velocity
Immediately after launch, the rocket is subject to gravity, so its acceleration is
where 
.
a. We can obtain the velocity and position vectors by respectively integrating the acceleration and velocity functions. By the fundamental theorem of calculus,
(the integral of 0 is a constant, but it ultimately doesn't matter in this case)
and
b. The rocket stays in the air for as long as it takes until 
, where 
is the -component of the position vector.
The range of the rocket is the distance between the rocket's final position and the origin (0, 0, 0):
c. The rocket reaches its maximum height when its vertical velocity (the -component) is 0, at which point we have
Answer:
A hostel has provision for 45 students for 30 days.If 15 more students joined the hostel after 6 days,how long will provision last?
Answer:
m>-5
Why? because the arrow shows -5 less then any number going right
Hope this helps
Answer:
4V = 3U
Step-by-step explanation:
The final cost of a sale item is determined by multiplying the price on the tag by 75%.
Let us assume that the final cost of the sale item is V and the price on the tag is given by U.
Then the equation that best describes the function that represents the situation is 
⇒ 4V = 3U (Answer)
