Answer:
maximum height is y = b²/18g √ (12L/b)³
Explanation:
Let's analyze the situation first we have a projectile subjected to an acceleration depends on time, so we must use the definition of acceleration to find the speed when it is at distance L, then we will use the projectile launch equations
Acceleration dependent on t
a = dv / dt
dv = adt
∫dv =∫ (b t²) dt
v = b t³ / 3
The initial speed is zero for zero time
we use the definition of speed
v = dy / dt
dy = v dt
∫dy = ∫b t³ / 3 dt
y = b/3 t⁴ / 4
y = b/12 t⁴
we evaluate from the initial point where the height is zero for the zero time
Let's calculate the time to travel the length (y = L) of the canyon
t = (12 y / b) ¼
t = (12 L / b) ¼
Taking the time, we can calculate the projectile's output speed
v = b/3 
This is the speed of the body, which is the initial speed for the projectile launch movement. Let's calculate the highest point where the zero speed
Vy² = v₀² - 2 g y
0 = Vo² - 2 g y
2 g y = v₀²
y = v₀²/ 2g
y = 1/2g [b/3
) ] 2
y = 1 / 2g [b²/9
]
y = b²/18g √ (12L/b)³
Answer:
magnitude = 7.446 km, direction = 75.22° north of east
Explanation:
From the questions,
To get the the magnitude of the resultant vector we use Pythagoras theorem
a² = b²+c²
From the diagram,
y² = 1.9²+7.2²
y² = 55.45
y = √(55.45)
y = 7.446 km.
The direction of the dolphin is given as,
θ = tan⁻¹(7.2/1.9)
θ = tan⁻¹(3.7895)
θ = 75.22° north of east
Hence the magnitude of the resultant vector = 7.446 km, and it direction is 75.22° north of east
Had to look for the options and here is my answer. What happens when the fluid discharge of an air-operated reciprocating pump is shut, this will cause the pump to OVERSTROKE. Overstroke happens when the engine is switching in a normally-closed manner.
<span>All soils have completely different horizon patterns.</span>
Answer:
C. nuclear fusion, because the equation shows two hydrogen nuclei combining to form a helium nucleus
Explanation:
Nuclear reaction can either be; fission or fusion. Nuclear fission is the process by which a massive nucleus breaks in to two smaller nuclei of almost the same size with the release of high amount of energy. Nuclear fusion is the process by which two nuclei reacts, joins, to produce a massive nucleus (compared to the masses of the reacting elements) with the release of high amount of energy.
From the given equation, two hydrogen isotopes; deuterium and tritium reacts with each other to produce helium nucleus and a neutron.
This reaction is a nuclear fusion which produces a massive nuclei.