All categories

3 years ago

If an arrow is shot upward on Mars with a speed of 68 m/s, its height in meters t seconds later is given by

Mathematics

1 answer:

Talja [164]3 years ago

6 0

Answer:

(a) dy/dt = 68 - 3.72t

(b) 64.28m/s

Step-by-step explanation:

Given y = 68t - 1.86t²

Average Speed is rate of chance of distance with respect to time. Written as dy/dt

To obtain dy/dt, we differentiate y with respect to t, doing that, we have

dy/dt = 68 - 2(1.86)t

= 68 - 3.72t

(a) dy/dt = 68 - 3.72t

(b) To estimate the speed when t = 1, we substitute t = 1 in dy/dt .

dy/dt at t = 1 is

68 - 3.72(1)

= 68 - 3.72

= 64.28

The speed at t = 1 is 64.28m/s

You might be interested in

What's the circumference of a

grandymaker [24]

Answer:

56.55 inches

Step-by-step explanation:

8 0

3 years ago

(b) Out of 200 students in an examination of class IX, 140 passed in Maths, 120 passed in Scien

iren [92.7K]

Answer:

n(U)=200

n(M)=140

n(S)=120

n(MuS)complement=40

n(MuS)=n(U)-n(MuS)complement

=200-40

=160

n(MnS)=n(M)+n(S)-n(MuS)

=140+120-160

=260-160

=100

3 0

3 years ago

Read 2 more answers

Bob decides he wants to make guitars and sell them online. He makes and sells Gibson Explorer’s and Gibson Flying V’s. He can ma

lozanna [386]

Okay so the equation. Lets say e is explorers and v is flying vs and m = money.

e + v > or = 30.

80e + 5v =m.

e < or = 20\
v < or = 20.
Okay, the most money he could make would be if he made 20 explorers at 80 dollars and 10 vs at 5 dollars.
Total money...
1600 + 50 = 1650.
So he could make $1650.

7 0

3 years ago

Please help asap !!!!!! what vaule of x makes the equation true 3(x-4)=15

DaniilM [7]

3(x-4) = 15

Distribute the 3:

3x-12 = 15

Add 12 to both sides:

3x = 27

Divide both sides by 3:

X = 9

The answer is D. 9

5 0

3 years ago

In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H? 42°

Vinvika [58]

The complete question is shown in the attached image

Answer:
measure angle H = 42°

Explanation:
There is a theorem that states that:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"

In the given, we have:
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H

Based on the above rule:
measure angle E = measure angle D + measure angle H

We are given that:
angle E = 87°
angle D = 45°

Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°

Hope this helps :)

3 0

3 years ago