Answer:
97 minutes and 12 seconds
Explanation:
Let x be the total time
From the first statement

Total time of Dara's exercise is 14580 seconds
40 %


Time when she had completed 40% was 1 hour 37 minutes and 12 seconds
Answer:
the instantaneous velocity is 51 m/s
Explanation:
Given;
acceleration, a = 2 + 5t²
Acceleration is the change in velocity with time.
![a = \frac{dv}{dt} \\\\a = 2 + 5t^2\\\\The \ acceleration \ (a) \ is \ given \ so \ we \ have \ to \ find \ the \ velocity \ (v)\\\\To \ find \ the \ velocity, \ integrate\ both \ sides \ of \ the \ equation\\\\2 + 5t^2 = \frac{dv}{dt} \\\\\int\limits^3_0 {(2 + 5t^2)} \, dt = dv\\\\v = [2t + \frac{5t^3}{3} ]^3_0\\\\v = 2(3) + \frac{5(3)^3}{3} \\\\v = 6 + 5(3)^2\\\\v = 6 + 45\\\\v = 51 \ m/s](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7Bdv%7D%7Bdt%7D%20%5C%5C%5C%5Ca%20%3D%202%20%2B%205t%5E2%5C%5C%5C%5CThe%20%5C%20acceleration%20%5C%20%28a%29%20%5C%20is%20%5C%20given%20%5C%20so%20%5C%20we%20%5C%20have%20%5C%20to%20%5C%20find%20%5C%20the%20%5C%20velocity%20%5C%20%28v%29%5C%5C%5C%5CTo%20%5C%20find%20%5C%20the%20%5C%20velocity%2C%20%5C%20integrate%5C%20both%20%5C%20sides%20%5C%20of%20%5C%20the%20%5C%20equation%5C%5C%5C%5C2%20%2B%205t%5E2%20%3D%20%5Cfrac%7Bdv%7D%7Bdt%7D%20%5C%5C%5C%5C%5Cint%5Climits%5E3_0%20%7B%282%20%2B%205t%5E2%29%7D%20%5C%2C%20dt%20%3D%20dv%5C%5C%5C%5Cv%20%3D%20%5B2t%20%2B%20%5Cfrac%7B5t%5E3%7D%7B3%7D%20%5D%5E3_0%5C%5C%5C%5Cv%20%3D%202%283%29%20%2B%20%5Cfrac%7B5%283%29%5E3%7D%7B3%7D%20%5C%5C%5C%5Cv%20%3D%206%20%2B%205%283%29%5E2%5C%5C%5C%5Cv%20%3D%206%20%2B%2045%5C%5C%5C%5Cv%20%3D%2051%20%5C%20m%2Fs)
Therefore, the instantaneous velocity is 51 m/s
Answer:
108.18 m/s2
Explanation:
1 atm = 101325 Pa
r = 7.41 mm = 0.00741m
Since the pressure is increased by a factor of 2.55, the new inner pressure inside the system would be
P = 101325 * 2.55 = 258378.75 Pa
This pressure exerts a force on the metal cylinder, knowing the radius, we can calculate the cross-section area:

Then the force exerted:

Finally we can calculate the initial acceleration in accordance with Newton's 2nd law of motion:

The bending occurs because light travels more slowly in a denser medium.
Answer:595.32 N
Explanation:
Given
Mechanic shop has a car of weight(
) 16,500 N
Area of lift(
)=
Area of small piston(
)=
According to pascal's law pressure transmit will be same in all direction in a closed container



