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julsineya [31]
2 years ago
10

A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds. The motorcycle then travels at a co

nstant speed of 1.2u m/s for 15 seconds. Assuming that the acceleration is constant, express the total distance, D in metres, traveled by the motorcycle.
Mathematics
1 answer:
kolbaska11 [484]2 years ago
6 0

Answer:

Step-by-step explanation:

A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds

V = U + at

1.2u  = u  + a*10

=> a = 0.02u

S= ut + (1/2)at²

Distance in 1st 10 secs

S = u(10) + (1/2)(0.02)(10)²

=> S = 10u + u

=>  S = 11u  m

Constant speed 1.2u for 15 secs

S = 1.2u * 15

=> S = 18u m

Total Distance Covered d  = 11u + 18u = 29u  m

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Travka [436]

Answer:

The 13.2 meters from that point on the ocean floor to the wreck.

Step-by-step explanation:

As given

A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the ocean is 12.5°.

If a point on the ocean floor is 60 meters.

Now by using the trigonometric identity.

tan\theta = \frac{Perpendicular}{Base}

As shown in the figure given below.

Perpendicular = CB

Base = AC = 60 meters

\theta = 12.5^{\circ}

Put in the identity

tan\ 12.5^{\circ} = \frac{CB}{AC}

tan\ 12.5^{\circ} = \frac{CB}{60}

tan\ 12.5^{\circ} = 0.22

tan\ 12.5^{\circ} = 0.22

0.22= \frac{CB}{60}

CB = 60 × 0.22

CB = 13.2 meters

Therefore the 13.2 meters from that point on the ocean floor to the wreck.







8 0
2 years ago
What the number is 1/10 the value of 237
Troyanec [42]
1/10 the value of 237 means we must multiply 1/10 by 237

1/10 * 237 = 23.7

Hope this helps!
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Over each subinterval, we take the value of the function at the right endpoint: 3, 8, 15, and 18.

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\displaystyle\int_2^{10}f(x)\,\mathrm dx\approx3\cdot2+8\cdot3+15\cdot2+18\cdot1=78

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8 0
2 years ago
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Answer:

Correct option A

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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e⁻ˣ

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