Homework 1: Instantaneous and Average Speed
1. Andy Murray serves a tennis ball 18 m across a court in 0.3 s.
Calculate the average speed of the ball.
2.
3.
4.
A water rocket travels from the
ground to a height of 2 m in a time of
0.08 s.
Calculate the instantaneous speed of
the rocket.
A pupil takes 40 minutes to
walk 3 km from Barassie to
Marr College.
Calculate the pupil’s average
speed.
A passenger jet plane, called Concorde, could fly 565 km
between Prestwick and Gatwick airport in a time of 15 minutes.
Calculate its average speed.
5. Describe how to find experimentally the average speed of a car
travelling along the school drive. Include:
a) Any measuring apparatus required.
b) How the measurements are taken.
c) A description of the calculation.
6. A cue ball travels from one end of a
pool table to the other and back
to its starting point in 1.7 s. The
length of the table is 2.1 m.
Calculate the average speed of the
cue ball.
7. Shown below is part of a train timetable.
a) Calculate the time taken to travel from Kilmarnock to
Stranraer.
b) Calculate the time taken for the 19.07 train to travel from
Troon to Ayr.
c) The distance by rail from Troon to Ayr is 12 km.
Calculate the average speed of the 19.07 train.
Homework 2: Instantaneous and Average Speed
1.
A cheetah can run 500 m in
16 s.
Calculate its average speed.
2. A car maintains a constant speed of 25 m s-1 for 8 s.
Calculate the distance travelled.
3. A boat travels 500 m at 7 m s-1.
Calculate the time taken.
4.
Graeme Obree averaged a
speed of 14.33 m s-1 for
one hour on his bicycle
called “Old Faithful”.
Calculate the distance
travelled.
5. On the Moon mission Apollo 15 a specially designed lunar Roving
Vehicle was used. It travelled 5 km at 2.25 m s-1 from the landing site to
a nearby crater.
Calculate the total time for the journey there and back.
6. Describe how to find experimentally the instantaneous speed of a
trolley at the bottom of a slope. Include:
a) A labelled diagram of any measuring apparatus required.
b) A description of how the measurements are taken.
c) A description of the calculation.
7. As a bus travels from Troon to Dundonald the driver glances at the
speedometer.
Explain why the speedometer reading and the average speed of the bus
may not be the same.
8. A student sets up the apparatus as shown.
The trolley is released from X and moves down the ramp.
The following measurements are recorded.
time for card to pass through light gate = 008 s
distance from X to Y = 05 m
length of card = 004 m
Calculate the instantaneous speed of the trolley at Y.
Homework 3: Acceleration and Speed-Time Graphs
1. A train takes 30 s to increase its speed from 5 m s-1 to 25 m s-1.
Calculate the acceleration of the train.
2.
After hovering at rest, a kestrel
dives towards the ground.
After 2.8 s its speed is 19 m s-1.
Calculate the acceleration of
the kestrel.
3. While taking a slip road off a motorway, a lorry slows from
33 m s-1 to 18 m s-1 in a time of 5 s.
Calculate the acceleration of the lorry.
4.
A DeLorean sports car accelerates at 3 m s-2 for 6 s across a film
set from an initial speed of 8 m s-1.
Calculate the DeLorean’s final speed.
5.
In 1933 Buckminster Fuller
designed a three wheeled
vehicle called the Dymaxion.
The speed-time graph shown
below, was produced during a
test run.
a) Describe the motion of the Dymaxion during graph section
(i) OA
(ii) AB
(iii) BC
b) Calculate the acceleration during section AB.
c) Calculate the total distance travelled.
d) Calculate the average speed for the whole journey.
6. As the brakes on a bus are applied measurements show that it has
an acceleration of -1.5 m s-2.
Explain what an acceleration of -1.5 m s-2 means.