Speed and velocity practice problems worksheet answers
Answers
Problem 1:
A man walks 7 km in 2 hours and 2 km in 1 hour in the same direction.
a) What is the man's average speed for the whole journey?
b) What is the man's average velocity for the whole journey?
Solution to Problem 1:
a)
speed and velocity - Problem 1
average speed =
distance
time
=
7 km + 2 km
2 hours + 1 hour
=
9 km
3 hours
= 3 km/h
b)
average velocity =
displacement
time
=
7 km + 2 km
2 hours + 1 hour
=
9 km
3 hours
= 3 km/h
Problem 2:
A man walks 7 km East in 2 hours and then 2.5 km West in 1 hour.
a) What is the man's average speed for the whole journey?
b) What is the man's average velocity for the whole journey?
Solution to Problem 2:
a)
speed and velocity - Problem 2
average speed =
distance
time
=
7 km + 2.5 km
2 hours + 1 hour
=
9.5 km
3 hours
= 3.2 km/h (approximated to the nearest tenth)
b)
average velocity =
displacement
time
=
7 km - 2.5 km
2 hours + 1 hour
=
4.5 km
3 hours
= 1.5 km/h
Problem 3:
You start walking from a point on a circular field of radius 0.5 km and 1 hour later you are at the same point.
a) What is your average speed for the whole journey?
b) What is your average velocity for the whole journey?
Solution to Problem 3:
a) If you walk around a circular field and come back to the same point, you have covered a distance equal to the circumference of the circle.
average speed =
distance
time
=
circumference
time
=
2 * 0.5 * Pi
1 hour
= Pi km/h = 3.14 km/h (approximated)
b) If you walk around a circular field and come back to the same point where you started the displacement, which a change in position, is equal to zero. Since the displacement is equal to zero, the average velocity is also equal to zero.
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