A worker drops a hammer from a second story roof that is 10m above the ground. Choose the appropriate formula to use where t represents time in seconds after the hammer is dropped. h(t) = -16t2 +v0 (Initial Velocity) + h0 (Initial Height) or h(t) = -4.9t2+v0t (Initial Velocity)+h0 (Initial Height)
I don't know if we can solve this problem without knowing the initial velocity. Am I right?
the key word is "dropped"
If you drop something, the initial velocity is zero
You are correct. To solve this problem, we need to know the initial velocity of the hammer. The formula for the height of an object dropped from a certain initial height is given by h(t) = -16t^2 + v0t + h0, where v0 is the initial velocity and h0 is the initial height. However, without the initial velocity, we cannot determine the exact position of the hammer at any given time.
You are correct. To solve this problem, we would need to know the initial velocity of the hammer. The two formulas you provided are both equations for the height of an object in free fall, but they require different information inputs.
The first formula, h(t) = -16t^2 + v0 + h0, is used when the initial velocity (v0) is given. This equation takes into account the initial velocity, initial height, and the effect of gravity (-16t^2) to find the height of the object at any given time (t).
The second formula, h(t) = -4.9t^2 + v0t + h0, is used when the initial velocity (v0) is also given, except it only considers the effect of gravity (-4.9t^2) and the initial velocity on the object's height.
Since you did not provide the initial velocity of the hammer, we cannot determine the exact formula to use or accurately calculate the height at a given time.