You can start this by setting up two vectors starting at the origin.
Vector 1 has coordinates of (-57,0) since in the east direction.
Vector 2 has coordinates of (0,13) because going north.
Starting from the origin, plot the two points, which will give you two sides of a triangle.
You can use pythagorean theorem to solve for the magnitude of the velocity. And you can find the angle by arctan(y/x)
Pythagorean would produce 58.46m/s
<h2>The correct option is (A)</h2>
Explanation:
Travels faster in solids because the particles are closer together.
The reason for the above statement is -
(i) Sound waves travel through the medium (solid, Liquid, and gas), more denser is the medium more is the speed of sound.
(ii) In solid, the particles are arranged very closely and tightly packed therefore the sound waves in solid have the fastest speed or travels fastest in comparison to liquid and gas.
(iii) Slower than solid is the travel of sound waves in liquid than in gas(least dense, particles are far apart.
Answer: 271.4 s
Explanation:
We are told the top speed (maximum speed) 
the car has is:
taking into account 
And the car's average acceleration 
is:
Since:
(1)
Where:
is the car's final speed (top speed)
because it starts from rest
is the time it takes to reach the top speed
Finding this time:
(2)
(3)
(4)
Now we have to find the distance 
the car traveled at this maximum speed with the following equation:
(5)
Isolating :
(6)
(7)
(8)
On the other hand, we know the total distance 
traveled by the car is:
Hence the remaining distance is:
(9)
(10)
So, we can calculate the time 
it took to this car to travel this remaining distance 
at its top speed , with the following equation:
(11)
Isolating :
(12)
(13)
(14)
With this time and the value of 
calculated in (4) we can finally calculate the total time 
:
(15)
(16)
Answer:
W = 20 J
Explanation:
Given that,
The mass of a loaded sack, m = 1000 g = 1 kg
It falls down from the floor of a lorry 200 cm high, h = 2 m
We need to find the work done by the gravity. The work done by an object under the action of gravity is given by :
W = mgh
Substitute all the values,
W = 1 × 10 × 2
= 20 J
Hence, the required work done by gravity is equal to 20 J.
Wavelength = (speed) divided by (frequency) = 10/0.5 = <span>20 </span>
