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madam [21]
3 years ago
8

A rocket-driven sled running on a straight, level track is used to investigate the effects of large accelerations on humans. One

such sled can attain a speed of 1600 km/h in 2.20 s, starting from rest. Find (a) the acceleration (assumed constant) in terms of g and (b) the distance traveled.
Physics
1 answer:
HACTEHA [7]3 years ago
5 0

Answer:

a = 20.5931 g,

D = 488.88 meters

Explanation:

We can find acceleration using the formula

V = Vo + a*t, where V is the final speed, Vo is the inicial speed, a is the acceleration and t is time.

First, we need to convert the speed to meter/seconds:

V = 1600 km/h = 1600/3.6 m/s = 444.44 m/s

Then, using Vo = 0 (starts from rest), we have:

444.44 = 0 + a*2.2

a = 444,44/2.2 = 202.0182 m/s2

In terms of g (g=9,81 m/s2), we have that:

a = 202.0182/9.81 g = 20.5931 g

To find the distance travelled, we can use  Torricelli's equation:

V^2 = Vo^2 + 2*a*D, where D is the distance travelled. So:

444.44^2 = 0^2 + 2*202.0182*D

D = 197526.91/404.0364 = 488.88 meters

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Question 27 a motorboat takes 3 hours to travel 144km going upstream. the return trip takes 2 hours going downstream. what is th
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In this item, we let x be the rate of the boat in still water and y be the rate of the current.

Upstream. When the boat is going upstream, the speed in still water is deducted by the speed of the current because the boat goes against the water. The distance covered is calculated by multiplying the number of hours and the speed.
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Downstream. The speed of the boat going downstream is equal to x + y because the boat goes with the current.
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The system of linear equations we can use to solve for x is,
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We use either elimination or substitution.
 
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Substitute this to the second equation,
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