4.5.6.1.4 The Distance–Time Relationship

Question 1

If an object moves in a straight line, what can the distance travelled be represented by?

Answer 1

if an object moves in a straight line, the distance travelled can be represented by a distance-time graph

Question 2

How can you calculate the speed from a distance-time graph?

Answer 2

using it’s gradient

Question 3

Formula for gradient:

Answer 3

• gradient = y2 - y1 / x2 - x1
• gradient = change in y / change in x

Question 4

How do you find the speed for a particular point on a curved distance-time graph?

Answer 4

to find the speed on a curved distance time graph draw a tangent to the point where you want of find the speed and calculate the speed using the tangent

Question 5

• Features of a Distance-Time Graph:
  
  • diagonal line =
  • horizontal line =
  • steeper diagonal line =
  • diagonal line downwards =

Answer 5

• diagonal line = constant slow speed
• horizontal line = stationary
• steeper diagonal line = faster constant speed
• diagonal line downwards = returning fast constant speed

Question 6

Instantaneous speed:

Answer 6

the gradient of a distance-time graph at one point

Question 7

Average speed:

Answer 7

the total distance divided by the total time