Determine the value of the T from the given vector equation \(5\hat j-T\hat j=6\hat j+3T\hat j\)

Find the derivative with respect to t, of the function x = A_o + A₁t + A₂t² where A₀, A₁ and A₂ are constants.

An object is thrown vertically downward. What is the acceleration experienced by the object?

A train 100 m long is moving with a speed of 60 km h^-1. In how many seconds will it cross a bridge of 1 km long?

Is it possible to measure the depth of a well using kinematic equations?