Answer:

Explanation:
The rate of volume flow out of tank can be expressed as:

where,
dV/dt = Volume flow rate
A = Cross-sectional area of outlet = πd²/4
d = diameter of circular outlet
dL = Displacement covered by water
dt = time taken
but we know that:
Velocity = υ = displacement/time = dL/dt
Substituting the values of "dL/dt" and "A" in the equation, we get:

This is the expression for volume flow rate dV/dt, on terms pf v, d.
Answer:
Explanation:
Given
Motorcyclist speed=12 m/s
maximum acceleration
distance=39 m
Let x be the distance traveled by motorist in his reaction time
therefore remaining 39-x will be traveled with
acceleration

s=39-x
v=0
u=12 m/s

x=27 m
Therefore he traveled 27 m in his reaction time

t=2.25 s
(b)If his reaction time is 2.56 sec
then distance traveled in his reaction time

Remaining distance 39-30.72=8.28 m
therefore its velocity when it reaches the deer


v=6.681 m/s
The position of the particle is given by:
x(t) = t³ - 12t² + 21t - 9
Differentiate x(t) with respect to t to find the velocity x'(t):
x'(t) = 3t² - 24t + 21
Differentiate x'(t) with respect to t to find the acceleration x''(t):
x''(t) = 6t - 24
Answer:
Number of Wire Turns in the Coil.
Explanation:
The greater the number of turns of wire in the coil, the greater the inductance. Fewer turns of wire in the coil results in lesser inductance. More coils of wires indicate a greater amount of magnetic field force for a given amount of coil current.
Answer: Transverse
Explanation: Transverse waves possess a vertical wave motion and a horizontal particle motion.