Height of the rocket will be <span>h(t)=−<span>12</span>g<span>t2</span>+<span>v0</span>tsinθ+<span>h0</span></span> where
<span>g=9.8<span> m/s2</span></span>
<span><span>v0</span>=86 m/s</span>
<span><span>h0</span>=0 m</span>
<span>θ= angle formed with the vertical
</span>
That's a parabola. You'll solve that for <span>h(<span>tf</span>)=0</span> to find the time of flight.
The horizontal component of the rocket's velocity will be <span><span>vx</span>=<span>v0</span>cosθ</span>. You know that <span>x=<span>vx</span><span>tf</span>=104 m</span> where <span>tf</span> is the time of flight. You can use that relationship to write an expression for <span>tf</span> in terms of <span>v0</span> and θ. Substitute that into the first equation and solve for θ.
Once you've got the parabola figured out, you can easily find the maximum height by finding the vertex, and you've already found the duration of the flight.
Answer:
The magnitude of the acceleration is at its maximum value.
Acceleration = 
Explanation:
During simple harmonic motions such as the oscillation of a spring, at the two extremes of the motion, the acceleration of the mass becomes maximum. This is because this is the point where the force on the body is maximum.
The angular velocity 
At points of maximum extension x, the maximum acceleration is given by the formula.

substituting in the value for
, this implies that

⇒
Archimedes' principle states that a body immersed in a fluid is subjected to an upwards force equal to the weight of the displaced fluid. This is a first condition of equilibrium. We consider that the above force, called force of buoyancy, is located in the centre of the submerged hull that we call centre of buoyancy.
Answer:
38.8 m
Explanation:
h = -(21 + 1.75) = - 22.75 m
g = - 9.8 m /s^2
Ux = 14.004 m/s
Uy = + 5.376 m/s
Let the ball hits the ground in time t and at a distance d from the base of hill.
Use second equation of motion
h = Uyt + 0.5 at^2
- 22.75 = 5.376 t - 0.5 x 9.8 t^2
4.9 t^2 - 5.376 t - 22.75 = 0

By solving
t = 2.77 second
So, horizontal distance
d = Ux t
d = 14.004 x 2.77 = 38.8 m
Answer:
the Power required is 300 W
Explanation:
We know that the definition of work is given by the following expresion:

the distance is 1.5 meters and the Force is equal to 1000 N.
Replacing this values in the work expresion

And the power is equal to the amount of work done in a given time, therefore we have:

Time in seconds
