Consider the equation v= 2.1x +5.8 that is being displayed on a velocity vs. time plot for an accelerated object. What is the value of the acceleration? What is the value of the initial speed of the object?

A car is moving with a velocity v(t)= 100-t2   in units of ft/sec where t is in seconds when the brakes are applied at t = 0. How far will the car travel before it comes to a stop, and what is its average velocity during that time?

There is a 1500 mile race course. The max forward acceleration is 4 m/s2 and the max backward acceleration is 6 m/s2. I start at 600 m and must go to the 800 m mark (I must travel 200 m). What is an equation for the fastest time that I could get to 800 m? What is the position, time, and velocity of my vehicle?

I need help solving this question. A rocket starting from rest rises vertically and accelerates at a constant rate of 13 m/s2 for 7 min. At this point the engine of the rocket accidently fails and completely shuts down. (Neglect air resistance and any variation in the acceleration due to gravity) a) What is the speed of the rocket when the engine shuts down? b) How high is the rocket above the ground at the point where the engine shuts down? c) How much higher will the rocket rise after the engine fails? d) What is the total time of the rocket in air? e) What is the average speed of the rocket for the entire trip?

At t=0 an object has a velocity of 35 m/s and a steady acceleration of -10 m/s2.   Make a sketch of velocity vs. time for this motion from t=0 to t=5 s. Make a sketch of acceleration vs. time for this motion from t=0 to t=5 s. Does the object change directions between 0 and 6 s?

I need assistance solving this question

The graph in Figure GP2.92 shows velocity versus time for a ball projected upward along an incline. Take the +x -axis directed upward along the incline. (a) Describe what you would see if you were watching this ball. (b) How far up the ramp does the ball get from its initial position? (c) Graph the acceleration and position versus time for the rolling ball.

The figure shows the velocity-versus-time graph for a motorcycle moving along the x-axis. v (m/s) 8 4 0+ 0 2 4 6 8 10 t(s) What is the instantaneous acceleration of the particle at t = 8 sec in m/s2? (The sign is important)

. Plot the data in table 1 of a cart in motion. Determine its displacement and distance traveled. Calculate its maximum acceleration. Time (s) 0.0 1.0 2.0 3.0 4.0 5.0 6.0 Table 1: Table for problem #4. Velocity (m/s) 0.0 2.0 4.0 4.0 4.0 0.0 0.0