Answer: 6.25 m/s^2
Explanation:
The distance between Vinny and the ramp is 200m
And he has 8 seconds (At max) to reach that distance.
The initial velocity is 0m/s
The initial position is 0m
Now, we want to find the constant acceleration in order to do this, so suppose that we have a constant acceleration A.
a(t) = A.
To have the velocity, we must integrate over time, and remember that the constant of integration is equal to zero because the initial velocity is zero.
v(t) = A*t
For the position, we integrate again over time.
p(t) = 0.5*A*t^2
And we want to travel 200m in 8 seconds, then:
p(8s) = 200m
0.5*A*(8s)^2 = 200m
A*32s^2 = 200m
A = 200m/32s^2 = 6.25 m/s^2
This is the minimum acceleration in order to do this, if Vinny has a larger acceleration he will travel the 200m in a smaller time.
From the calculation, the horizontal distance is 310 m.
<h3>What is the range of a projectile?</h3>
A projectile has to do with an object that is thrown at an angle. Now we know that the range of the projectile is given by the formula; R = u^2sin2θ/g
We we know that;
g = acceleration due to gravity
θ = angle
u = velocity
R = (60)^2 sin2(30)/10
R = 310 m
Learn more about projectile:brainly.com/question/11422992
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Answer:
0.89 g/cm^3 = 890 kg/m^3
Explanation:
Cross sectional area of U-tube ( A ) = 1.00 cm^2
volume of oil ( V ) = 5.00 cm^3
change between top surface = 0.550 cm
height of oil = 5 cm ( volume / area )
height of water = 5 - 0.550 = 4.45 cm
pressure at the oil-water junction = Pressure on the second side of the U-tube at same level
Po * g * Hoil = Pw * g * Hwater
Po * 5 = 1 * 4.45
∴ Density of oil ( Po ) = 4.45 / 5 g/cm^3 = 0.89 g/cm^3
(a) The height of the cliff will be 8.26 meters.
(b) The time would it take to reach the ground will be 0.717 sec.
<h3>What is velocity?</h3><h3 />
The change of displacement with respect to time is defined as the velocity. Velocity is a vector quantity. it is a time-based component.
(a) The height of the cliff will be 8.26 meters.
According to Newton's second equation of motion
Hence The height of the cliff will be 8.26 meters.
(b)The time would it take to reach the ground will be 0.717 sec.
We must have the final velocity to find the time so;
According to Newton's third equation of motion ;
Hence the time would it take to reach the ground will be 0.717 sec.
To learn more about the velocity refer to the link ;
brainly.com/question/862972
Displacement is usually how the messure the rock
