# Kinematics and graphing. total = 37 marks

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14 Νοε 2013 (πριν από 4 χρόνια και 6 μήνες)

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(s)

Kinematics
and graphing.

total = 37 marks

1.

Mr. Clever drives from his home to his mother’s house. He left home at 9.00 am and the trip
took 6.0 hours, his trip meter in the car showed that the distance traveled was 414 km. The
route he took was not direct

because the map shows his mother’s house is actually 252 km SE
of his home.

(a)

What was his average speed for the journey?

[1]

(b)

What was his average velocity for the journey?

[1]

2.

The graph below shows the position of an object at various times during a jour
ney.

[1+1+2+2+2+1+1+2]

(a)

What is the total distance traveled in the first

6 seconds of motion?

(b)

What is the displacement of the object in the first

6 seconds of the motion?

(c)

What is the average speed of the object over the
first 6 seconds?

(d)

What is the ave
rage velocity of the object over the
first 6 second period shown?

(e)

Determine the velocity at t = 4.5 seconds?

(f)

At what time(s) was the velocity negative?

(g)

At what time(s) was the displacement constant?

(h)

Sketch the distance time graph for the journey,

labelin
g axes.

3.

The graph below shows the velocity of a car during a 5 second interval.

0
2
4
6
8
10
12
0
1
2
3
4
5
6
Time (s)
Velocity (m/s)

(a)

What is the magnitude of the change in velocity in the first 3 seconds of motion?

[1]

(b)

What was the acceleration of the car during the third second
?

[1]

(c)

How far did the car move in the fifth second?

[2]

4.

The graph below shows the velocity
-
time graph of a body traveling in a straight line.

-6.0
-4.0
-2.0
0.0
2.0
4.0
6.0
0.0
2.0
4.0
6.0
8.0
10.0
12.0
Time (s)
Velocity (m/s)

(a)

Sketch the displacement and acceleration graphs, labeling axes. Assume s=0 at
t=0.

[4]

(b)

What is the displacement of the object from t =4 s to t = 10 s?

[2]

(c)

What is the velocity at 8 seconds?

[1]

(d)

What was the acceleration during the sixth second?

[1]

(e)

During which time periods is the body decelerating?

[1]

(f)

What was the distance travele
d during the 10 second period?

[2]

(g)

Calculate the average velocity for the 10 second trip.

[2]

5.

The graph below shows the displacement

time graph of a moving object.

0
10
20
30
0
1
2
3
4
5
6
Time (minute)
Displacement North (m)

(a)

What was the velocity of the object at t = 5 sec
onds?

[2]

(b)

What was the magnitude of the acceleration at 2 seconds?

[1]

(c)

What was the average speed for the 6 seconds of the journey?

[2]

(d)

What is the average velocity of the object for the 6 seconds of the journey?

[1]

North

A

B

C

D

(seconds)