9. Figure 2 below shows the velocity of a particle as a function of time. (a) Find the acceleration for the five one-second periods and plot the acceleration as a function of time. (b) Taking x = 0 att 0, find the position of the particle at t = 0.5 s, t = 1.0 s, t = 2.0 s, t 3.0 s, t = 4.0 s, and t function of time. Look at the slopes of your x vs t curve for the five one-second periods and show that they correspond to the velocities of Fig. 2. %3D %3D %3D 5.0 s and plot the position as a %3!
9. Figure 2 below shows the velocity of a particle as a function of time. (a) Find the acceleration for the five one-second periods and plot the acceleration as a function of time. (b) Taking x = 0 att 0, find the position of the particle at t = 0.5 s, t = 1.0 s, t = 2.0 s, t 3.0 s, t = 4.0 s, and t function of time. Look at the slopes of your x vs t curve for the five one-second periods and show that they correspond to the velocities of Fig. 2. %3D %3D %3D 5.0 s and plot the position as a %3!
Related questions
Question
Transcribed Image Text:*5
*2
200
100t
0.50
1.00
1.50
2.00
2.50
300
as0
4.00
4.50
5.00
(a)
F1g. 1
9. Figure 2 below shows the velocity of a particle as a function of time. (a) Find the
acceleration for the five one-second periods and plot the acceleration as a function
of time. (b) Taking x = 0 att = 0, find the position of the particle at t = 0.5 s, t =
1.0 s, t = 2.0 s, t = 3.0 s, t = 4.0 s, and t= 5.0 s and plot the position as a
function of time. Look at the slopes of your x vs t curve for the five one-second
periods and show that they correspond to the velocities of Fig. 2.
%3D
%3D
m/s)|
15.0
10.0
5.0
0.00
1.00
1.50
2.00
3.00
350
4.00
-5.0
-10.0
F1g. 2
-15.0t
10. An object moving with a velocity of 10 m/s is uniformly decelerated, coming to rest
in a distance of 20 m. Find (a) its deceleration and (b) the time for it to come to
rest. Plot (c) its velocity v as a function of time t and (d) its position x as a function
of t. Take x, = 10 m.
11. An apartment dweller sees a flower pot (originally on a window sill above) pass the
2.0-m-high window of her fifth floor apartment in 0.10 s. The distance between
floors is 4.0 m. From which floor did the pot fall?
12. The acceleration of a partícle is given by a(t) = 6.0 m/s t. Find (a) v(t) and
(b) x(t) for a particle with v = Xo = 0.
%D
13. Repeat Problem 12 for v, = 1.0 m/s and x, = 2.0 m.
14. A particle starts from rest and undergoes accelerations as plotted in Fig. 3 below for
the first three seconds. Plot a graph of (a) velocity v as a function of time t and (b)
position x as a function of time t taking X, = 0. Find (c) the maximum velocity
REDMP NOTEg PROd) the distance moved by the particle in 3.0 s.
AI QUAD CAMERA
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 4 images
