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About Scotto
Expertise
Any kind of mathematics (algebra, geometry, trigonometry, matrices, calculus, linear approximation, linear regression, linear programming, numerical analysis, probability, statistics, etc.). I also have answered some questions in Physics, Chemistry, and Biology. I would like to volunteer in all areas of Mathematics, not just calculus, and the other three courses that were mentioned.

Experience
Experience in the area: I have tutored students in all areas of mathematics for over 20 years. Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors. Awards and Honors: I have passed Actuarial tests 100, 110, and 135.
 
   

You are here:  Experts > Teens > Homework/Study Tips > Calculus > Solving acceleration problems

Topic: Calculus



Expert: Scotto
Date: 6/9/2008
Subject: Solving acceleration problems

Question
I dont know if this is your field but if you could help me at all Id really appreciate it.

A object is projected upwards from a 20m tower. If it takes 4.5 seconds for the object to hit the ground, what is the initial velocity of the object?

I cant figure out the initial velocity becuase I only have acceleration (gravity) and the total time.

Can you please help?

Answer
Maybe I should put in there I know some physics and some chemistry as well (since I do).

The basic equation for height h = d0 + v0(t) - 0.5a*t^2 where d0 is the original height, v0 is the original speed, and a is the acceleration due to gravity.

Note that all of the values are in meters.
Plugging in the values given, we know that d0 = 20, v0 is unknown,
a = 9.8m/s^2, and the final height is 0.

Put 4.5 in for t into the h equation and v0 can be found by solving the equation -4.9*(4.5)^2 + 4.5v0 + 20 = 0.

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