an-objects-acceleration-is-at-sec2-t-ms2-if-its-velocity-at-t0-is-v01-ms-what-is

Question

An object's acceleration is a(t) = $$sec^2 t$$ $$(m/s^2). If $$its velocity at t=0 is v(0)=1 m/s, what is its velocity at t=π/4? (Integrate acceleration.)

Accepted Answer

2 m/s

Answer

1 m/s

Answer

$$sec^2$$(π/4) + 1 = 2 + 1 = 3 m/s

Answer

tan(π/4) = 1 m/s

An object's acceleration is a(t) = sec^2 t (m/s^2). If its velocity at t=0 is v(0)=1 m/s, what is its velocity at t=π/4? (Integrate acceleration.)