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 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.

Mrs. posota drives 55 miles to work. it takes her 1.05 hour to get to work. what is Mrs.posota average speed? round to the nearest decimal place. Use whole number and miles/hour as your unit

You measure the motion of a dynamics cart using a motion sensor.  You then plot the cart’s position vs. time and velocity vs. time.  The best way of finding the average acceleration of the cart is to find: a. the y-intercept of the position vs. time plot. b. the y-intercept of the velocity vs. time plot. c. the slope of the position vs. time plot d. the slope of the velocity vs. time plot. e. none of the above

An object is held 10 m above the ground. It is tossed upward at 5 m/s. Describe the object's motion in words. Write an equation of motion for the object. How long does it take for the object to hit the ground? How far above the ground is the object in 1.5 sec?

sketch what you think the speed time graph would look like for a vehicle that begins at 10 m/hr. and remains at that speed for 10 minutes.  Label this section A.  Then the vehicle (over a five-minute interval) increases speed from 10 to 20 m/hr.  Label this section B.  Then immediately the vehicle begins to slow down.  It takes the vehicle 10 minutes to slow down from 20 m/hr. to zero.  Label this section C.   This graph would have 3 intervals.  The first interval (A) is from 0 to 10 minutes.  The second interval (B) is from 10 minutes to 15 minutes.  The third interval (C) is from 15 minutes to 25 minutes.  The x-axis needs to go from zero to 25 minutes.  The y axis needs to go from zero to 20 m/hr.  Describe the motion of the vehicle in each interval  as increasing, decreasing, constant, or at rest.

A student drops a water balloon out of a dorm window 13 m above the ground. What is its speed when it hits the ground? m/s

What is the acceleration (in units of feet per second squared) of a car that goes from 15 mph to 75 mph in a 10.0 second time period? How far does the car travel during that acceleration in units of feet? Identify the quantity(variable) you are solving for. make a simple sketch to represent the data given. Make a list of all given values, units, and the variables they represent. Write the general form of the equation you are going to use. Solve the equation.