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
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- 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 mA 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.
- A motorcycle begins at rest at t0 = 0 seconds. The motorcycle starts moving, and eventually covers a distance d = 840 m, in a time tf = 189 s. In a coordinate system with north being the positive x-direction, the motorcycle's motion is in the northern direction (see figure). 1. What was the motorcycle's average velocity in in the northern direction vavg,N, in this period in meters per second? 2. If the motorcycle's final velocity at tf was 12 m/s, what was the motorcycle's average acceleration in the northern direction, aavg,N, during this period in m/s2?Stuck need help! The class I'm taking is physics for scientists and engineers! Problem is attached. please view attachment before answering. Really struggling with this concept. Any help will be greatly appreciated! Please detail explain so I can fully understand how to solve. Thank you so much.help solve two part question A. A roller coaster begins at rest at the top of a 30 m hill. Find the velocity at a point 5 m above the bottom of the hill. B. A roller coaster begins at 6 m/s at the top of a 39 m hill. Find the velocity at a point 4 m above the bottom of the hill.
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