Physics, 21.09.2020 18:01, dancemomsrule1

A toy rocket is launched with an initial velocity of 10.0 m/s in the horizontal direction from the roof of a 30.0 m -tall building. The rocket's engine produces a horizontal acceleration of (1.60 m/s3)t, in the same direction as the initial velocity, but in the vertical direction the acceleration is g , downward. Air resistance can be neglected. What horizontal distance does the rocket travel before reaching the ground?

Answers: 1

Show answers

Answers

answered: NateTheBeast12

The toy rocket will do an horizontal distance of 27.793 meters before reaching the ground.

Explanation:

This rocket experiments a two-dimension motion consisting in a combination of vertical free-fall and a horizontal uniformly acclerated motion. Flight time is governed by vertical movement and can be found by using this formula:

$y = y_{o}+v_{o,y}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}$

Where:

$y_{o}$ - Initial height, measured in meters.

$v_{o,y}$ - Initial vertical speed, measured in meters per second.

- Time, measured in seconds.

- Gravitational acceleration, measured in meters per square second.

- Current height, measured in meters.

If we know that $y_{o} = 30\,m$ , $v_{o,y} = 0\,\frac{m}{s}$ , $g = -9.807\,\frac{m}{s^{2}}$ and $y = 0\,m$ , then resulting polynomial is solved:

$0\,m = 30\,m +\left(0\,\frac{m}{s} \right)\cdot t +\frac{1}{2} \cdot \left(-9.807\,\frac{m}{s^{2}} \right)\cdot t^{2}$

$30 - 4.905\cdot t^{2} = 0$

The time taken by the toy rocket is:

$t \approx 2.407\,s$

Now, the horizontal distance can be found by integrating acceleration function twice. That is:

$v(t) = \int {a(t)} \, dt$

$v(t) = 1.60\int {t} \, dt$

$v(t) = 0.80\cdot t^{2}+v_{o}$

$s(t) = \int {v(t)} \, dt$

$s(t) = \int {(0.80\cdot t^{2}+v_{o})} \, dt$

$s(t) = 0.80\int {t^{2}} \, dt + v_{o}\int\, dt$

$s(t) = 0.267\cdot t^{3} + v_{o}\cdot t + s_{o}$

If we know that $v_{o} = 10\,\frac{m}{s}$ and $s_{o} = 0\,m$ , then the horizontal position formula is:

$s(t) = 0.267\cdot t^{3}+10\cdot t$

Where:

s(t) - Horizontal position, measured in meters.

- Time, measured in seconds.

Now, the horizontal distance before reaching the ground is found: ( $t \approx 2.407\,s$ )

$s(2.407\,s) = 0.267\cdot (2.407\,s)^{3}+10\cdot (2.407\,s)$

$s (2.407\,s) = 27.793\,m$

The toy rocket will do an horizontal distance of 27.793 meters before reaching the ground.

answered: Guest

does anyone know or what?

answered: Guest

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia

Other questions on the subject: Physics

Physics, 21.06.2019 22:50, ijohnh14

If the temperature were raised very high, classically what would we expect the heat capacity per object to be for this one-dimensional system? give a numerical value. chigh t = __ j/k/object (one reason for the discrepancy is that the high-temperature limit assumes that the number of oscillators is large (n > > 1), which is not the case in this tiny system.)

Answers: 2

continue

Physics, 22.06.2019 02:10, lunnar2003

How many hydrogen (h) atoms are in one molecule of sulfuric acid, h2so4? (1 points) 1 2 4 7

Answers: 3

continue

Physics, 22.06.2019 06:30, marciamwilliamp31fz6

The energy of a photon was found to be 3.38 × 10–19 j. planck’s constant is 6.63 × 10–34 j • s. which color of light corresponds to this photon?

Answers: 2

continue

Physics, 22.06.2019 10:30, tyw3366812778

Awoman holds a book by placing it between her hands such that she presses at right angles to the front and back covers. the book has a mass of m = 1.8 kg and the coefficient of static friction between her hand and the book is μs = 0.67. no attempt 50% part (a) what is the weight of the book, fgb in newtons?

Answers: 3

continue

Do you know the correct answer?

A toy rocket is launched with an initial velocity of 10.0 m/s in the horizontal direction from the r...