Explanation:
At the maximum height, the ball's velocity is 0.
v² = v₀² + 2a(x - x₀)
(0 m/s)² = (12.3 m/s)² + 2(-9.80 m/s²)(x - 0 m)
x = 7.72 m
The ball reaches a maximum height of 7.72 m.
The times where the ball passes through half that height is:
x = x₀ + v₀ t + ½ at²
(7.72 m / 2) = (0 m) + (12.3 m/s) t + ½ (-9.8 m/s²) t²
3.86 = 12.3 t - 4.9 t²
4.9 t² - 12.3 t + 3.86 = 0
Using quadratic formula:
t = [ -b ± √(b² - 4ac) ] / 2a
t = [ 12.3 ± √(12.3² - 4(4.9)(3.86)) ] / 9.8
t = 0.368, 2.14
The ball reaches half the maximum height after 0.368 seconds and after 2.14 seconds.
Yes! Fossils, The outlines of the continents and geological features .
Answer:
Different and better?
Explanation:
i dont think that helps lol
Answer:
Explanation:
A. The earth about its axis:
The earth makes one revolution in 24 hours. to know the number of revolutions per second it makes, we need to convert hours to seconds and the revolution to rad.
![\frac{1 rev}{24hours}\times \frac{1 hr}{3600s}\times \frac{2\pi}{1}= 7.27 \times10^-5 rad/s](https://tex.z-dn.net/?f=%5Cfrac%7B1%20rev%7D%7B24hours%7D%5Ctimes%20%5Cfrac%7B1%20hr%7D%7B3600s%7D%5Ctimes%20%5Cfrac%7B2%5Cpi%7D%7B1%7D%3D%207.27%20%5Ctimes10%5E-5%20rad%2Fs)
B. The minute hand of the clock makes one revolution in 60 minutes
To convert this to rad per second, we have
![\frac{1 rev}{60mins}\times \frac{1 min}{60s}\times \frac{2\pi}{1}= 1.745 \times10^-3rad/s](https://tex.z-dn.net/?f=%5Cfrac%7B1%20rev%7D%7B60mins%7D%5Ctimes%20%5Cfrac%7B1%20min%7D%7B60s%7D%5Ctimes%20%5Cfrac%7B2%5Cpi%7D%7B1%7D%3D%201.745%20%5Ctimes10%5E-3rad%2Fs)
C. The hour hand of a clock completes one revolution in 12 hours
![\frac{1 rev}{12hours}\times \frac{1 hr}{3600s}\times \frac{2\pi}{1}= 1.454 \times10^-4 rad/s](https://tex.z-dn.net/?f=%5Cfrac%7B1%20rev%7D%7B12hours%7D%5Ctimes%20%5Cfrac%7B1%20hr%7D%7B3600s%7D%5Ctimes%20%5Cfrac%7B2%5Cpi%7D%7B1%7D%3D%201.454%20%5Ctimes10%5E-4%20rad%2Fs)
D. an egg beater turning at 300 rpm.
![\frac{300 rev}{1minute}\times \frac{1 min}{60s}\times \frac{2\pi}{1}= 7.27 \times10^-5 rad/s=0.0218rad/s](https://tex.z-dn.net/?f=%5Cfrac%7B300%20rev%7D%7B1minute%7D%5Ctimes%20%5Cfrac%7B1%20min%7D%7B60s%7D%5Ctimes%20%5Cfrac%7B2%5Cpi%7D%7B1%7D%3D%207.27%20%5Ctimes10%5E-5%20rad%2Fs%3D0.0218rad%2Fs)