A ball is projected at an angle of 30° above the horizontal with a speed of 35 m/s.What will be its approximate horizontal range across a level surface?

Question:

A small rocket is launched vertically upward from the edge of a cliff 80 ft off the ground at a speed of 69 ft/s. Its height (in feet) above the ground is given by  [tex]h(t) = - 25t^2 + 200t + 400[/tex] where t represents time measured in seconds.

Assuming the rocket is launched at t=0, what is an appropriate domain for h?

Answer:

[tex]0 \le t \le 9.66[/tex]

Explanation:

Given

[tex]h(t) = - 25t^2 + 200t + 400[/tex]

Required

Determine the domain of h

The initial value of t is 0.

i.e.

[tex]t = 0[/tex] --- This is given in the question

To determine the final value, we simply solve for t in [tex]h(t) = - 25t^2 + 200t + 400[/tex]

Rewrite the expression:

[tex]- 25t^2 + 200t + 400=0[/tex]

Divide through by -25

[tex]\frac{-25t^2}{-25} + \frac{200t}{-25} + \frac{400}{25}=\frac{0}{-25}[/tex]

[tex]t^2 - 8t - 16 = 0[/tex]

Using quadratic formula:

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a= 1[/tex]    [tex]b = -8[/tex]  and [tex]c = -16[/tex]

The expression becomes:

[tex]t = \frac{-(-8)\±\sqrt{(-8)^2 - 4*1*(-16)}}{2*1}[/tex]

[tex]t = \frac{8\±\sqrt{64+ 64}}{2}[/tex]

[tex]t = \frac{8\±\sqrt{128}}{2}[/tex]

[tex]\sqrt{128} = 11.31[/tex]

So, we have:

[tex]t = \frac{8\±11.31}{2}[/tex]

Split

[tex]t = \frac{8+11.31}{2}\ or\ t = \frac{8-11.31}{2}[/tex]

[tex]t = \frac{19.31}{2}\ or\ t = \frac{-3.31}{2}[/tex]

[tex]t = 9.66\ or\ t = -1.66[/tex]

But time can't be negative.

So:

[tex]t = 9.66[/tex]

Hence, the domain is:

[tex]0 \le t \le 9.66[/tex]

Answer:

46 degrees

Explanation:

90+44+x=180

44+x=90

x=46

Answer:well isn't it 90 like it said on the image?

Explanation?????

Answer:in general, plastics are better insulators than metals or water

Explanation:

Answer:

Workdone = 147Nm

Explanation:

Given the following data;

Mass = 5kg

Height = 3m

We know that acceleration due to gravity is 9.8m/s²

First of all, we would find the force applied;

[tex] Force = mass * acceleration [/tex]

Force = 5*9.8

Force = 49N

Now, to find the workdone;

[tex] Workdone = force * distance [/tex]

Substituting into the equation, we have;

Workdone = 49 * 3

Workdone = 147Nm

–0.2 m/s2 I did it on edge 2020

Answer:

the answer is C

Explanation:

i got it wrong the first time because the answer above says -0.2 but its actually 0.2

i hope this helps

Answer:

40 000 units of momentum

Explanation:

Assuming that the mass is doubled and the velocity stays constant the new momentum will be doubled the original momentum.

Answer:

Force is measured using either the English System of Measurements or the International System of Units A force can cause an object with mass to change its velocity It is measured in the SI unit of newtons and represented by the symbol F.

Explanation:

Answer:

false....

Explanation:

brainliest

Given that,

Distance travelled, d = 3.06 m

Final velocity, v = 0.18 m/s

Average velocity of the object, V = 0.34 m/s

To find,

The acceleration of the object.

Solution,

Let t is the time in which it covers distance d. Average velocity is given by distance covered divided by time.

[tex]V=\dfrac{d}{t}\\\\t=\dfrac{d}{V}\\\\t=\dfrac{3.06}{0.34}\\\\t=9\ s[/tex]

Let a is the acceleration of the object. Using equation of motion to find it :

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{0.18-0}{9}\\\\a=0.02\ m/s^2[/tex]

So, the acceleration of the object is 0.02 m/s².

Answer:

the factor that contributed to the fact that he was able to survive this fall is due to the fact that his body is made up of bone which are strong and his skeleton also protected all his vitals internal organs. His body went limp after he was knocked in the head when he fell, all of these made room allowing his muscles to relax and this gave his bones the opportunity to absorb the impact of the fall

If a man was dropped by the tornado from a distance of a quarter away from home. As per the authorities, he was dropped least at a speed of 30 mph. The man suffered no main injuries and survived.

Learn more about the up-by a tornado and dropped a quarter-mile away.

brainly.com/question/1492400.