1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bezimeni [28]
3 years ago
9

. An object has a position given by ~r(t) = [3.0 m − (4.00 m/s)t]ˆı + [6.0 m − (8.00 m/s2 )t 2 ]ˆ , where all quantities are in

SI units. What is the magnitude of the acceleration of the object at time t = 5.00 s? (a) 8.94 m/s 2 (b) 0.00 m/s 2 (c) 16.0 m/s 2 (d) 8.00 m/s 2 (e) 4.00 m/s 2
Physics
1 answer:
kupik [55]3 years ago
4 0

Answer:

(c) 16 m/s²

Explanation:

The position is r(t) = [3.0 \text{ m} - (4.00 \text{ m/s})t]\hat{i} + [6.0 \text{m} - (8.00 \text{ m/s}^2 )t^2 ]\hat{j}.

The velocity is the first time-derivative of <em>r(t).</em>

<em />v(t) = \dfrac{d}{dt}r(t) = -4.00\,\hat{i} -16t\,\hat{j}<em />

The acceleration is the first time-derivative of the velocity.

a(t) = \dfrac{d}{dt} v(t) = -16\hat{j}

Since <em>a(t)</em> does not have the variable <em>t</em>, it is constant. Hence, at any time,

a = -16\hat{j}

Its magnitude is 16 m/s².

You might be interested in
-A pool ball leaves a 0.70 meter high table with an initial velocity of 2.4 m/s. Predict the time required for the pool ball to
lorasvet [3.4K]

Answer:

0.70+2.4=23.7+35.0=answer

Explanation:

4 0
3 years ago
Read 2 more answers
The geese fly 23 m/s to the south when they migrate for the winter. Identify if this example is speed or velocity.
kari74 [83]

Answer:

Its velocity.

7 0
2 years ago
Complete the following sentences.
MrMuchimi
  1. force pull the ball towards it with a force called gravity. <em> </em><em> </em><em> </em><em> </em><em> </em><em> </em>
  2. newton
5 0
3 years ago
A crane lifts an l-bean to a height of 30 meters giving it a potential energy of 108,486). What is the mass of the I-beam?
andrew-mc [135]

369 kg

Explanation:

Step 1:

We know that the expression for potential energy is

PE = mgh

where, m =Mass

            g = Acceleration due to gravity

            h Height

Step 2:

Here m = ?

         PE = 108486

         h = 30 m

          g = 9.8 ms⁻²

108486 = 30 * 9.86 * m

m= 108486 / (9.8*30) = 369 kg

5 0
3 years ago
Define the terms ‘latent heat of vaporization’ and ‘phase change’ in your own words. What is the commonly accepted value of the
olganol [36]

Answer:

Latent Heat of Vaporization of Nitrogen is 2.7928 KJmol^{-1}

Explanation:

• We have learned that adding thermal energy by heat increases the temperature of a substance.

• But surprisingly, there are situations where adding energy does not change the temperature of a substance at all. Instead, the additional thermal energy acts to loosen bonds between molecules or atoms and causes a phase change.

• Because this energy enters or leaves a system during a phase change without causing a temperature change in the system, it is known as latent heat (latent means hidden).

• Latent heat of vaporization is a physical property of a substance.

• It is defined as the heat required to change one mole of liquid at its boiling point under standard atmospheric pressure. It is expressed as kg/mol or kJ/kg.

• When a material in liquid state is given energy, it changes its phase from liquid to vapor; the energy absorbed in this process is called heat of vaporization.

• Latent Heat of Vaporization of Nitrogen is 2.7928 KJmol^{-1}

7 0
3 years ago
Other questions:
  • A red ball is thrown down with an initial speed of 1.1m/s from a height of 28 meters above the ground. Then 0.5 seconds after th
    5·1 answer
  • A EXAMPLE OF WHEN BOTH PHYSICAL CHANGE AND CHEMICAL CHANGE OCCUR 3 EXAMPLES
    9·1 answer
  • A positive charge of 18nC is evenly distributed along a straight rod of length 4.0 m that is bent into a circular arc with a rad
    9·1 answer
  • Answer please 98 points also brainliest
    12·2 answers
  • Woman has a near point of 75.0 cm. What focal length, f, is necessary for the corrective lens so that he can hold his physics bo
    8·1 answer
  • Find the voltage across the 15 Ohm resistor plz help ty
    9·1 answer
  • What is the pressure transmitted in the liquid on a hydraulic pump where an elephant with a weight of 40 000 N is placed on top
    14·1 answer
  • A 500 kg motorcycle accelerates at a rate of 2 m/s .how much force was applied to the motorcycle?
    14·2 answers
  • A car travels for 5.5 h at an average speed<br> of 75 km/h. How far did it travel?<br> T TE
    9·1 answer
  • A syringe is filled with air of volume 10 cm at 100 kPa and then sealed. Itis compressed so that its volume is reduced by 45 %.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!