A single, nonconstant force acts in the + x ‑direction on an object of mass M that is constrained to move along the x ‑axis. As a result, the object's position as a function of time is x ( t ) = P + Q t + R t 3 How much work W is done by this force from t = 0 s to final time T ? Express the answer in terms of P , Q , R , M , and T .

Velocity  

               V  = Q + 3Rt²

at t = 0, = Q + 3r(0) ==> Q

at t = T, = Q + 3rT²

Work done (W) = ΔKE =

W =

W =   [Q² + 9R²T⁴ + 2Q(3RT²) - Q²]

W =   (9R²T⁴ + 6QRT²)

Explanation:

Differentiate the position.

Find the equation for speed.

Find the initial and final speed.

Use work energy theorem to find the work done by finding the change in kinetic energy.

the only real purpose of sputnik 1 was to beat the us into space. we were getting close to launching a useful satellite, explorer 1 - which launched on january 31, 1958. the ussr had to beat that, so they launched sputnik 1 on october 4, 19

god i hope this !