#call problem help
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Oops meant calc problem
If h(t) is height(time), speed(time) is dh/dt
If you want to know the object's speed at t = 0, yo need to evaluate h(t) in t = 0
So solve with t set to 0?
Yes
Speed is nothing more than the derivative of position (height in this case).
h'(t) is the function that gives you the speed at time t
h(t)=400-39t-157exp(-t/4)=0 solve for t>0 then find h'(a) for the t=a u found
a=9.91922...
and v = 35.7124373833...
so v=35.7
I misunderstood the statement. @px is right
The moment at which it hits, is when h(t) = 0, you have to solve for t, to get the moment at which it hits the ground. So, now yes, you evaluate h' at that point
Do this:
- Find the moment when the object hits the ground, that is, find t such that h(t) = 0.
- Suppose that the object collides at moment t_0, then, to know the speed at that moment, you evaluate h'(0) and that is the solution