Hello, i am studying for my math exam and i have problems solving this task, i would be very thankful if anyone could help me. (excuse me if im not writing correctly, english is not my native language).
Task is: express acceleration and distance in dependance of time (alpha and beta are positive constant).
v(t)= alpha * 3sqrt(t) + beta * t^2 (at 3sqrt(t) here is not regular sqrt but sqrt is on 3,i mean 3rd root of t)
i start :
v = ds / dt
ds = v * dt // integrate
integrate ds = integrate v * dt
integrate ds = integrate ( alpha * t^1/3 + beta * t^2) * dt
s integrated = alpha * t^4/3 / 4/3 + beta * t^3 / 3 + c integrated
I think this is the expression for distance s, i dont know how to express acceleration further, if anyone can help im very thankful.
Task is: express acceleration and distance in dependance of time (alpha and beta are positive constant).
v(t)= alpha * 3sqrt(t) + beta * t^2 (at 3sqrt(t) here is not regular sqrt but sqrt is on 3,i mean 3rd root of t)
i start :
v = ds / dt
ds = v * dt // integrate
integrate ds = integrate v * dt
integrate ds = integrate ( alpha * t^1/3 + beta * t^2) * dt
s integrated = alpha * t^4/3 / 4/3 + beta * t^3 / 3 + c integrated
I think this is the expression for distance s, i dont know how to express acceleration further, if anyone can help im very thankful.