The correct equation for the acceleration is a = (v-u)t. Option D is correct.
<h3 /><h3>What is the first equation of motion?</h3>
The acceleration can be defined as the ratio of change in velocity to time. As given in the question,
The final velocity,
Where,
v - final velocity
u - initial velocity
a - acceleration
t - time
First, bring u with v,
Now bring the t with v-u,
So,
Therefore, the correct equation for the acceleration is a = (v-u)t.
Learn more about the first equation of motion:
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This is because the sound waves are way faster than the speed of light!
Convert the units of power,W = 7 hp = 7 * 745.69 = 5219.83 WCalculate the power input to the pump using the efficiency of the pump equationn=Wpump/Wshaft
Substitute 0.82 for n and 5219.83 for Wshaft0.82=Wpump/5219.83 Wpump=0.82*5219.83=4280.26 WCalculate the mass flow ratein=Wpump/(gz_2 )Where g is the acceleration due to gravity, and z_2 is the elevation of water. Substitute 4280.26 for Wpump, 9.81 m/s^2 for g, and 19m for z_2in = 4280.26 / 9.81 * 19 = 22.9640 m^3/sCalculate the volume flow rate of waterV=m/ρWhere ρ is the density of water. Substitute 22.9640 m^3/s for in and 1000 m^3/kg for ρ, we get V = 22.9640 / 1000 = 0.0230 kg/sTherefore, the volume flow rate of water is 0.0230 kg/s