You will use the Pythagorean Theorem to solve it.
c^2 = a^2 + b^2
c^2 = (1.5)^2 + (2)^2
c^2 = 6.25
c = square root of 6.25
c = 2.5
I hope this helps!
Answer:
Explanation:
In Both Physics and Math
y=mx+b is plotted as straight line where
m=slope of line
b=intercept on Y-axis
whereas Equation of parabola is something like this
![y^2=4ax](https://tex.z-dn.net/?f=y%5E2%3D4ax)
or
![x^2=4ay](https://tex.z-dn.net/?f=x%5E2%3D4ay)
Math is a tool to solve Physics problems so equations are same in math and physics
Answer:
t = 25.5 min
Explanation:
To know how many minutes does Richard save, you first calculate the time that Richard takes with both velocities v1 = 65mph and v2 = 80mph.
![t_1=\frac{x}{v_1}=\frac{150mi}{65mph}=2.30h\\\\t_2=\frac{x}{v_2}=\frac{150mi}{80mph}=1.875h](https://tex.z-dn.net/?f=t_1%3D%5Cfrac%7Bx%7D%7Bv_1%7D%3D%5Cfrac%7B150mi%7D%7B65mph%7D%3D2.30h%5C%5C%5C%5Ct_2%3D%5Cfrac%7Bx%7D%7Bv_2%7D%3D%5Cfrac%7B150mi%7D%7B80mph%7D%3D1.875h)
Next, you calculate the difference between both times t1 and t2:
![\Delta t=t_1-t_2=2.30h-1.875h=0.425h](https://tex.z-dn.net/?f=%5CDelta%20t%3Dt_1-t_2%3D2.30h-1.875h%3D0.425h)
This is the time that Richard saves when he drives with a speed of 80mph. Finally, you convert the result to minutes:
![0.425h*\frac{60min}{1h}=25.5min=25\ min\ \ 30 s](https://tex.z-dn.net/?f=0.425h%2A%5Cfrac%7B60min%7D%7B1h%7D%3D25.5min%3D25%5C%20min%5C%20%5C%2030%20s)
hence, Richard saves 25.5 min (25 min and 30 s) when he drives with a speed of 80mph
Answer: The answer: The car is moving away from you.
Both A and C are true as Car can be moving in line away from you or has component of velocity in opposite direction.
Explanation:The decrease in the frequency of the sound is the result of Doppler's effect. A/c to Doppler's effect the frequency of received sound of source is changed if it is moving relative to the receiver, i.e. the distance between them is changing due to motion.
The general formula of Doppler's Effect is attached as the picture.
In this formula v_D is the velocity of Detector i.e the receiver relative to wind. While v_s is the velocity of source relative to wind and v is the velocity of sound.
The Doppler's effect is not effected by the velocity of wind as the wind itself could not change the distance between the two objects i.e. you and the car. Wind velocity can change the speed of sound and its wavelength but the change does not effect the frequency.
Hence if we assume the car to be moving with velocity v_c and you are stationary
![f'=f_s*\frac{v}{v-v_c}](https://tex.z-dn.net/?f=f%27%3Df_s%2A%5Cfrac%7Bv%7D%7Bv-v_c%7D)
hence the frequency is reduced.