Answer:
32.225 and angle is 48.7 degree.
Explanation:
u = 15, θ = 35 degree
v = 18, θ = 60
First represent the u and v in vector form.
u = 15 (Cos 35 i + Sin 35 j ) = 12.287 i + 8.6 j
v = 18 ( Cos 60 i + Sin 60 j ) = 9 i + 15.6 j
The sum of the two vectors is given by
u + v = 12.287 i + 8.6 j + 9 i + 15.6 j = 21.28 i + 24.2 j
Magnitude of u + v = = 32.225
Let Ф be the angle
tan Ф = 24.2 / 21.28
Ф = 48.7 degree
Answer:
The maximum height of the ball is 20 m. The ball needs 2 s to reach that height.
Explanation:
The equation that describes the height and velocity of the ball are the following:
y = y0 + v0 · t + 1/2 · g · t²
v = v0 + g · t
Where:
y = height of the ball at time t
y0 = initial height
v0 = initial velocity
t = time
g = acceleration
v = velocity at time t
When the ball is at its maximum height, its velocity is 0, then, using the equation of the velocity, we can calculate the time at which the ball is at its max-height.
v = v0 + g · t
0 = 20 m/s - 9.8 m/s² · t
-20 m/s / -9.8 m/s² = t
t = 2.0 s
Then, the ball reaches its maximum height in 2 s.
Now, we can calculate the max-height obtaining the position at time t = 2.0 s:
y = y0 + v0 · t + 1/2 · g · t²
y = 0 m + 20 m/s · 2 s - 1/2 · 9,8 m/s² · (2 s)²
y = 20 m
Answer:
I think it's C - sorry if I'm wrong
Explanation:
<u>First Calculate Total Equivalent </u><u>Resistance</u><u> </u><u>(</u><u>Series</u><u>)</u> :
<u>(A) Current in each resistor</u> :
(Since this is a series connection, the electric current is same through both resistor).
<u>(B) Potential Difference across the first </u><u>resistor</u><u> :</u>
<u></u>
<u>(B) Potential Difference across the </u><u>second</u><u> resistor :</u>
<u></u>