Thank you for the opportunity to help you with your question!
a)H maximum = Hmax
at maximum height V = 0 then gt = Vo ==> t = Vo/g
Hmax = (Vo)²/g - (Vo)²/(2g)
Hmax = (Vo)²/(2g)
b) conservation of energy means that energy, KE+PE, is a constant.
m(Vo)²/2 + 0 = mgH + mV²/2
V² = (Vo)² - 2gH
Hmax/2 = (Vo)²/(4g)
V² = (Vo)² - 2g(Vo)²/(4g)
V² = (Vo)² - (Vo)²/2
V² = (Vo)²/2 ==> V = ((Vo)√2)/ 2
mV = (m(Vo)√2)/2
NOTE: g is the gravity=9.8N
Please let me know if you need any clarification. I'm always happy to answer your questions.
15 Million Students Helped!
Sign up to view the full answer