SOLUTION: A ball is thrown upward with an inital speed of 24.5 m/s. When is it 29.4 m high?
Algebra.Com
Question 357150: A ball is thrown upward with an inital speed of 24.5 m/s. When is it 29.4 m high?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A ball is thrown upward with an initial speed of 24.5 m/s.
When is it 29.4 m high?
:
Using the formula: -4.9t^2 + 24.5t = h
Where
h = height in t seconds
t = time in seconds
4.9 = effect of gravity m/s
24.5 = initial upward speed m/s
:
-4.9t^2 + 24.5t = 29.4
:
-4.9t^2 + 24.5t - 29.4 = 0
:
As luck would have it, we can divide both sides by -4.9, and have simple equation
t^2 - 5t + 6 = 0
Factors easily to:
(t-3)(t-2) = 0
Two solutions
t = 2 seconds, (at 29.4 m on the way up)
t = 3 seconds, (at 29.4 m on the way down)
:
Graphically, you can see it's approx 30ft at 2 sec and 3 sec:
RELATED QUESTIONS
A ball is thrown upward with an initial speed of 24.5 m/s. When is it 19.6m high?
(answered by Alan3354)
a ball is thrown upward with an initial speed of 24.5 m/s. When is it 19.6 m high? (two... (answered by Edwin McCravy)
A ball is thrown directly upward from ground level with an initial speed of 80ft/s. How... (answered by mathstutor494)
Hello, can you please help me with this question? A ball is thrown upward with an initial (answered by ikleyn)
a rocket is fired upward with an inital speed of 1960 m/s. after how many minutes does... (answered by 6894,Edwin McCravy)
A tennis ball is thrown vertically upward with an initial velocity of +6.9 m/s.
What... (answered by richard1234)
A ball is thrown upward with an initial speed of 24.5m/s. When is it 19.6m high? (Two... (answered by galactus)
A ball is thrown upward from the roof of a building 100 m tall with an initial velocity... (answered by Nate)
A ball is thrown upward from the roof of a building 100 m tall with an initial velocity... (answered by Edwin McCravy)