Question 3. The cart shown in figure below moves with constant deceleration changing the speed from v0 = 5 m/s to v1 = 1 m/s. After 2 seconds when it reaches the speed v1 it suddenly stops. Write the displacement of the mass as a function of time. Mass m moves without friction on the surface of the cart. Assume positive direction from left to right (direction of motion of the cart). Numerical values: m = 2 kg, k = 1.152 kN/m. V k Ans: x(t) = 3.472 cos 24 t + 41.6 sin 24 t (mm) m L

A particle P starts at time t = 0 s at the polar position x = -15 m y = 8 m. The velocity of the particle is written in the polar basis associated with its current position, and is: v = 2ê, m/s. If we have final and final, then we can find final and final with: X final symbolic expression X = ? m, yfinal ? Give your answers in symbolic form. You should use the scalar variables r_f and theta_f. Functions are available like sin(), cos(), atan2(), sqrt(), and log(), as well as the mathematical constants pi and e. The regular arithmetic operators are +, -, *, and /, and x^y means x to the power of y. 5t + k would translate to 5*t+k. Now, find the final Cartesian position of the particle at time t = 2. symbolic expression m, y = ? m m

A car is traveling with a constant speed along a road that has a form of a square. The car starts at the beginning of one side of the square and covers two and a half sides. The speed of the car is 50 miles/hour. What is its average velocity ?   plz also show step by step on how you acquired the formula you are using to solve this problem. Thank You!!!!

At time​ t, the position of a body moving along the​ s-axis is s=−t^3+12t^2−36t m. a. Find the​ body's acceleration each time the velocity is zero. b. Find the​ body's speed each time the acceleration is zero. c. Find the total distance traveled by the body from t=0 to t=3.