in an automobile crash, a vehicle that was stopped at a red light is rear-ended by another vehicle. The vehicles have the same m
1 answer:
The initial speed of the vehicle before the collision is 8 m/s.
- Let the mass of the vehicle = m
- Let the initial speed of the vehicle stopped = u
- The initial speed of the vehicle parked at the red light = 0
- The initial speed of the vehicle before the collision is calculated by applying principle of conservation of linear momentum as follows;
Thus, the initial speed of the vehicle before the collision is 8 m/s.
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The rate of water level rising when the water is 30 cm deep will be 1/30 m/min.
<h3 /><h3>What is volume?</h3>The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The complete question is;
"A water trough is 10m long and has a cross-section which is the shape of an isosceles trapezoid
that is 30cm wide at the bottom, 80cm wide at the top, and has a height of 50cm. If the trough is being filled with water at the rate of 0.2 m3/min, how fast is the water level rising when the water is 30cm deep?"
b1 is the width of the water at a height at the bottom
b2 is the width of the water at the height at the top
The length of the trapezoid is L
The volume of the trapezoid is found as;
The breadth rises by 1 as the height does, therefore which implies
The water's breadth at the combined height is [0.3 + h]
After differentiation we get;
Hence the rate of water level rising when the water is 30 cm deep will be 1/30 m/min.
To learn more about the volume, refer to brainly.com/question/1578538.
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By equation of motion we have S = ut + 0.5 a
Where u = Initail velocity, S= dispalcement, t = time taken, a = acceleration
Here S = 3500-400 = 3100m, u = 0m/s, g = 9.8 m/
So, 3100 = 0+0.5*9.8*
= 3100/4.9
t =
t = 25.15 seconds