Question

You must explain all your answers IN WORDS and math. More on the words part. Don't write an essay or a long paragraph. Just the steps and equation you use, and the numbers you used.

A particle moves along the X axis under the action of the net force F(t) = 26 – 12t², where F is newtons and t is in seconds. The mass of the particle is m = 1kg, the initial position is X₀ = -36 m, and the initial velocity is V₀ = 0

1. Calculate the position of the particle as a function of time X(t)

2. Show the position – time graph for this motion

3. Describe the motion

You must explain all your answers IN WORDS and math. More on the words part. Don't write an essay or a long paragraph. Just the steps and equation you use, and the numbers you used.

Answer 1

first solve for position function by integrating acceleration two time and using initial conditions.

Part(c):- as we can see from graph that initially the particle moves first and remain at rest for two seconds from t=2 to 4 econdsand then moves with much larger speed after t=4 second.