Answer:

Explanation:
We must separate the motion into two parts, the first when the rocket's engines is on and the second when the rocket's engines is off. So, we need to know the height (
) that the rocket reaches while its engine is on and we need to know the distance (
) that it travels while its engine is off.
For solving this we use the kinematic equations:
In the first part we have:

and the final speed is:

In the second part, the final speed of the first part it will be the initial speed, and the final speed is zero, since gravity slows it down the rocket.
So, we have:

The sum of these heights will give us the total height, which is known:

This is the time that its needed in order for the rocket to reach the required altitude.
Answer:
r = 78.95 m
Explanation:
given,
Person Walk in east, r₁ = 45 m
Then he walk, r₂= 39 m in the direction of 40◦ North of East.
writing the total displacement in x- direction
r₁ₓ = 45 m
r₂ₓ = 39 cos 40°
r₂ₓ = 29.87 m
total displacement in x-direction
rₓ = r₁ₓ + r₂ₓ
rₓ = 45 + 29.87
rₓ = 74.87 m
displacement in y-direction
r_{1y} = 0 m
r_{2y} = 39 sin 40°
r_{2y} = 25.07 m
total displacement in y- direction
r_y = 25.07 m
using Pythagoras theorem for the magnitude calculation


r = 78.95 m
The magnitude of total displacement is equal to 78.95 m.
Acceleration is the change in velocity over time
Answer:
240 Ω
Explanation:
Resistance: This can be defined as the opposition to the flow of current in an electric field. The S.I unit of resistance is ohms (Ω).
The expression for resistance power and voltage is give as,
P = V²/R.......................... Equation 1
Where P = Power, V = Voltage, R = Resistance
Making R the subject of the equation,
R = V²/P.................... Equation 2
Given: V = 120 V, P = 60 W.
Substitute into equation 2
R = 120²/60
R = 240 Ω
Hence the resistance of the bulb = 240 Ω
Answer:
Time to reach maximum height can be obtained from v=u+at
0=20+(−10)t
t=2s
s=ut+0.5at
2
=20(2)+0.5(−10)(2)
2
=20m
Thus, total distance for maximum height is 45 m
s=ut+0.5at
2
45=0+0.5(10)(t ′ )
2
t
′
=3s
Total time= 3+2= 5s
Explanation:
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