Determine the acceleration v. time and position v. time graphs
from the given velocity v. time graphs. 
In order to interpret these VT graphs into at graphs we find the slopes of the curve and check its concavity and convexity.
Since, we know that dv/dt=a and d2v/dt2= da/dt we can use these facts to determine the slope and sign of the acceleration time graph.
The concavity of the graph tells us if d2v/dt2 is positive or negative. I e. If
Concave upwards then it is positive else if concave downwards then it is negative. Using these facts the corresponding graphs have been determined below as mentioned-





Determine the acceleration v. time and position v. time graphs from the given velocity v. time...
For each of the given velocity
vs time graphs, draw the corresponding acceleration vs time
graph
七 七 →七
For each of the given velocity vs time graphs, draw the
corresponding position vs time graph
七 七 →七
Shown
below are various position-time, velocity-time and
acceleration-time graphs. All of the graphs have numbered points on
them. For these questions include only those points where the sign
of the quantity definitely has the value specified. Include all
points that apply in each case, if there are none specify none.
Shown below are various position--time, velocity--time and acceleration--time graphs. All of the graphs have numbered points on them. Answer the questions below about the numbered points. For these questions include...
Predict and construct the position, velocity, and acceleration vs. time graphs for a ball tossed in the air
the position, velocity and acceleration graphs for an object in freefall (no air resistance) if it starts at 10 m high and thrown straight up with a velocity of 8.0 m/s Make sure the graphs are to scale and the time scale is the same for all three graphs Put a few numbers on each vertical axis and on the time axis. (Use g 10 m/s?) 1. Draw y(m) t(s) v(m/s) t(s) a(m/s') t(s)
The acceleration of particle is given as a function of velocity, a(v), find the position as a function of velocity, v(s)
For each of the velocity vs. time graphs below, sketch possible
corresponding position vs. time and acceleration vs. time graphs.
To the right of the graph, briefly describe the motion of the
object and why the graphs you drew are consistent with the velocity
graph. Where is the object at time t = 0 in each case?
Explain.
11. Figure below shows hypothetical velocity-time graphs. Sketch qualitatively the corresponding acceleration-time graph. v (m/s) v (m/s) *tis) (511 Case(i) Case(i)
Problem 9 For the following described motion, draw a position-time, a velocity-time, and an acceleration-time graph on the grids provided: 1. Standing still at the 0.6 meter position for 1 second. 2. Walking away from the detector speeding up slowly and steadily for 2 seconds, going from rest to 1.0 m/s, at x=1.6 m. 3. Walking away from the detector steadily at 1.0 m/s for 2 seconds. 4. Coming to rest slowly and steadily over a 1 second period. 5....
Starting from s = 0 with no initial velocity, a particle is given an acceleration a(v) = 0.13(v2+13)1/2, where a and v are expressed in m/s2 and m/s, respectively. Determine the position of the particle when v= 2 m/s,