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Brut [27]
2 years ago
11

A vehicle accelerates from 25 km/hr to 1200 km/hr in 60 sec. What is the vehicle's acceleration?

Mathematics
1 answer:
coldgirl [10]2 years ago
3 0

Answer:

a=5.43\ m/s^2

Step-by-step explanation:

Given that,

Initial speed of a vehicle, u = 25 km/hr = 6.95 m/s

Final speed of a vehicle, v = 1200 km/hr = 333.34 m/s

Time, t = 60 s

We need to find the acceleration of the vehicle. It is equal to the rate of change of velocity. It can be given by :

a=\dfrac{v-u}{t}\\\\a=\dfrac{333.34 -6.95 }{60}\\\\a=5.43\ m/s^2

So, the acceleration of the vehicle is 5.43\ m/s^2.

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A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9
o-na [289]

Answer:12.74 ft^2/s

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let \thetais the angle between them thus

Area of triangle when two sides and angle between them is given

A=\frac{ab\sin C}{2}

A=\frac{5\times 7\times \sin \theta }{2}

Differentiate w.r.t time

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}

at \theta =\frac{\pi }{5}

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9

\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s

4 0
3 years ago
Is 0.047 1/100 of 4.70
LiRa [457]

Answer:

Yes!

Step-by-step explanation:

4.70 (1/100) = 4.70(.01) = .047

6 0
3 years ago
Read 2 more answers
In a recent swim meet, Jason swam 100 meters in 20 seconds.<br> Jason swam ? meters per second
mafiozo [28]

Answer:

5 m/s

Step-by-step explanation:

100 meters divided by 20 seconds

5 0
2 years ago
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Please help!! 20 POINTS
rjkz [21]

f(-3) would be 36.

When looking at synthetic division, the numbers across the top represent the coefficients of x^2, x and the constant in that order. Therefore, the equation is as follows.

2x^2 - 5x + 3

Now we can put -3 into the equation and solve.

2(-3)^2 - 5(-3) + 3

2(9) + 15 + 3

18 + 15 + 3

36

7 0
3 years ago
Amanda is making pastry dough. She mixes of a 1/3cup of flour and of a 1/5 cup of sugar. If she wants to mix flour and sugar in
mr_godi [17]

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Multiplying the ratio by 2 cups, we find Amanda will need

... 10 cups flour : 6 cups sugar

for her recipe.

4 0
3 years ago
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