How to describe function with varying variables?

I am trying to understand how one can describe a function in matlab like the one in the picture

Would this be wrong? if not is there a better way to neatly describe a function with, in this case, a varying t value.

if t<=L/v
   h=(H/2)*(1-cos((2*pi*v*t)/L)); 
   
elseif t>L/v
    h=0;
end

Answer 1

[Asad (Mehrzad) Khoddam]

You can multiply the first equation by a vector that is 1 for t<=L/v and is zero when t>L/v

h=(H/2)*(1-cos(2*pi*v*t/L)).*( t<= L/v);