Answer:
The speed of the car at the end of the 2nd second = 8.0 m/s
Explanation:
The equations of motion will be used to solve this problem.
A car starts from rest,
u = initial velocity of the car = 0 m/s
Accelerates at a constant rate in a straight line,
a = constant acceleration of the car = ?
In the first second the car moves a distance of 2.0 meters,
t = 1.0 s
x = distance covered = 2.0 m
x = ut + (1/2)at²
2 = 0 + (1/2)(a)(1²)
a = 4.0 m/s²
How fast will the car be moving at the end of the second second
Now,
a = 4.0 m/s²
u = initial velocity of the car at 0 seconds = 0 m/s
v = final velocity of the car at the end of the 2nd second = ?
t = 2.0 s
v = u + at
v = 0 + (4×2)
v = 8.0 m/s
<h2>
Answer:</h2>
<em><u>Velocity of throwing arrow = 43.13 m/s.</u></em>
<h2>
Explanation:</h2>
In the question,
Let us say the height from which the arrow was shot = h
Distance traveled by the arrow in horizontal = 61 m
Angle made by the arrow with the ground = 2°
So,
From the <u>equations of the motion</u>,
![61 =u.t\\t=\frac{61}{u}](https://tex.z-dn.net/?f=61%20%3Du.t%5C%5Ct%3D%5Cfrac%7B61%7D%7Bu%7D)
Now,
Also,
Finally, the angle made is 2 degrees with the horizontal.
So,
Final horizontal velocity = v.cos20°
Final vertical velocity = v.sin20°
Now,
u = v.cos20° (No acceleration in horizontal)
Also,
![v=u+at\\vsin20=0+9.8(t)\\t=\frac{v.sin20}{9.8}](https://tex.z-dn.net/?f=v%3Du%2Bat%5C%5Cvsin20%3D0%2B9.8%28t%29%5C%5Ct%3D%5Cfrac%7Bv.sin20%7D%7B9.8%7D)
So,
We can say that,
![\frac{v.sin20}{9.8}=\frac{61}{v.cos20}\\v^{2}.sin20.cos20=597.8\\v^{2}=1860.56\\v=43.13\,m/s](https://tex.z-dn.net/?f=%5Cfrac%7Bv.sin20%7D%7B9.8%7D%3D%5Cfrac%7B61%7D%7Bv.cos20%7D%5C%5Cv%5E%7B2%7D.sin20.cos20%3D597.8%5C%5Cv%5E%7B2%7D%3D1860.56%5C%5Cv%3D43.13%5C%2Cm%2Fs)
<em><u>Therefore, the velocity with which the arrow was shot by the archer is 43.13 m/s.</u></em>
Plate Tectonics cause most earthquakes.
Answer:84.672 joules.
Explanation:
1) Data:
m = 7.2 kg
h = 1.2 m
g = 9.8 m / s²
2) Physical principle
Using the law of mechanical energy conservation principle, you have that the kinetic energy of the dog, when it jumps, must be equal to the final gravitational potential energy.
3) Calculations:
The gravitational potential energy, PE, is equal to m × g × h
So, PE = m × g × h = 7.2 kg × 9.8 m/s² × 1.2 m = 84.672 joules.
And that is the kinetic energy that the dog needs.
Answer:
780 m to travel north
Explanation:
6 m over = 750
53 degree so it will take about 2 min to reach the destination