A cart is released from rest from the top of an inclined ramp. Ignoring friction, which of the following is the best representation of the x-position vs. time graph for the cart as it rolls down the ramp. Assume x = O is at the top of the ramp, t = 0 occurs at the moment the cart is released, and the +x axis points directly down the ramp.

A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only a single nonzero component in the direction of motion. Thus, in this problem, we will call the velocity and a the acceleration, even though they are really the components of the velocity and acceleration vectors in the direction of motion, respectively. Figure U₁(m/s) 2.0 1.5 1.0 0.5 1(s) 0 10 20 30 40 50 1 of 1 (Figure 1) is a plot of velocity versus time for a particle that travels along a straight line with a varying velocity. Refer to this plot to answer the following questions. Part A What is the initial velocity of the particle, vo? Express your answer in meters per second. ▸ View Available Hint(s) V₁ =…

A person throws a ball with speed 102 m/s at a 45° angle.  How many seconds faster would the ball arrive if the person threw the ball at the same speed and the same distance but made the trip in two identical bumps.  Assume that there is no loss of speed at the bounce.  Hint:  Use R = v2/g * sin(2θ) and t=2*vy(sinθ)/g.

I am currently learning about kinematics in my physics class. For one of the questions, it asks me to solve a question that asks me to find the magnitude of acceleration. I have found answers ranging between 3 and 4, but everytime I put my answer into Webassign it is wrong. I was wondering how I would find the magnitude of acceleration given the time and distance.  Thank you