Positive acceleration is a parabola pointing upwards.
Negative acceleration is a parabola pointing downwards.
I am not sure what you mean by the balanced forces. But I guess it means no acceleration which is a straight line. It can be a horizontal line or an inclined line.
From the calculations, the mass of the pole is 82 Kg.
<h3>What is potential energy?</h3>
The term potential energy has to do with the energy that is possessed by a body by virtue of its position.
Given that;
height = 6.15 m
PE = 4942 J
mass = ??
g = 9.8 m/s^2
Now
PE = mgh
m = PE/gh
m = 4942 J/9.8 m/s^2 * 6.15 m
m = 82 Kg
Learn more about potential energy:brainly.com/question/24284560?
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In the projectile motion, the direction is characterized by a shape of the arc. Its horizontal component travels in constant velocity while the vertical component travels in constant acceleration. The equation to be used is:
2ay = |v² - v₀²|
where
a is the acceleration due to gravity equal to 9.81 m/s²
y is the height
v is the final velocity
v₀ is the initial velocity
Substitute y=1/2*H and v = 3/4*v₀. The equation for maximum height is
H = v₀²sin²θ/2a
Thus,
(2)(9.81)(1/2)(H) = |(3/4v₀)² - v₀²|
(2)(9.81)(1/2)(v₀²sin²θ/2(9.81)) = |(3/4v₀)² - v₀²|
(1/2)v₀²sin²θ = 7/16 * v₀₂
(1/2)sin²θ = 7/16
sin θ = [2*(7/16)]² = 0.765625
θ = sin⁻¹(0.765625) = 49.96°
Therefore, the launch angle is 49.96°.
Answer:
(a) 1782 Hz (b) 2178 Hz
Explanation:
The predominant frequency =1980 Hz
The speed of the police car =34.3 m/sec
The speed of sound in air =343 m/sec
(a) When the car moves towards you
According to Doppler's effect
![f=f_0\frac{v-v_s}{v}=1980\times \frac{343-34.3}{343}=1782Hz](https://tex.z-dn.net/?f=f%3Df_0%5Cfrac%7Bv-v_s%7D%7Bv%7D%3D1980%5Ctimes%20%5Cfrac%7B343-34.3%7D%7B343%7D%3D1782Hz)
(b) When the car moves away from you