Mechanics
Constant acceleration
Twitter: @Owen134866
www.mathsfreeresourcelibrary.com
, Prior Knowledge Check
1) For each graph, find; 3a) Solve the simultaneous
equations:
i) The gradient
ii) The shaded area under the
graph
3 73.5 2 150 -1.5 26.25
9
21 25
x = 2, y = -1.5
5
7 10 5 6 b) Solve . Give answers to 3sf.
2) A car travels for 45 minutes
at an average speed of 35mph. x = 1.27 or -2.77
Find the distance travelled
26.25 miles
,Teachings for
Exercise 9A
, Constant acceleration
You can represent the motion of In Mechanics, the variable is often used to
an object on a displacement-time represent displacement (in metres), and will
graph represent time (in seconds)
𝑠 𝑠 𝑠
𝑂 𝑡 𝑂 𝑡 𝑂 𝑡
The displacement does not The displacement increases at The displacement increases at
change over time – the object a constant rate over time – an increasing rate over time.
is stationary the object is moving at a The object is accelerating
constant velocity
On a displacement-time graph, the gradient represents the velocity
9A
Constant acceleration
Twitter: @Owen134866
www.mathsfreeresourcelibrary.com
, Prior Knowledge Check
1) For each graph, find; 3a) Solve the simultaneous
equations:
i) The gradient
ii) The shaded area under the
graph
3 73.5 2 150 -1.5 26.25
9
21 25
x = 2, y = -1.5
5
7 10 5 6 b) Solve . Give answers to 3sf.
2) A car travels for 45 minutes
at an average speed of 35mph. x = 1.27 or -2.77
Find the distance travelled
26.25 miles
,Teachings for
Exercise 9A
, Constant acceleration
You can represent the motion of In Mechanics, the variable is often used to
an object on a displacement-time represent displacement (in metres), and will
graph represent time (in seconds)
𝑠 𝑠 𝑠
𝑂 𝑡 𝑂 𝑡 𝑂 𝑡
The displacement does not The displacement increases at The displacement increases at
change over time – the object a constant rate over time – an increasing rate over time.
is stationary the object is moving at a The object is accelerating
constant velocity
On a displacement-time graph, the gradient represents the velocity
9A
