Question

From the top of a 225 meter building, an object is thrown upwards at an initial speed of 16.7 m/s. Neglecting air resistance:

a) Determine the function of the object's velocity.

Would it be: V = Vo - g*t?

b) Determine the function for the position of the object relative to the ground.

Would it be: x(t) = ∫ v(t)?

c) How much time will it take for the object to reach its maximum height?

I'm guessing I use the formula from a) and plug in for v=0?

d) What was the objects velocity when it hit the ground?

this time I'm thinking I would take b) and plug in for x(t) = 0?

thank you

Answer 1

(a) ok
(b) Yes.
x(t) = ∫ v(t) = ∫ 16.7 - 9.8t dt = 16.7t - 4.9t^2 + C
Now use x(0) = 225 to evaluate C.
(c) yes.
(d) yes.