Question

How to calculate distance from a speed time graph?

Answer 1

Calculate it's area.

Answer 2

CALCULATION OF DISTANCE TRAVELLED FROM SPEED-TIME GRAPH -

(a) When a body moves with a constant speed in a straight line : -

the distance travelled by a body in

certain time interval is equal to the area under the speed-time graph for the given time interval.

Since distance = speed × time taken

(attachment 1)

Distance travelled in the given time from O to S

→ Area under slope QR

→ Area of OABC = OS × QO

(b) When the velocity of a body increases uniformly from zero/ body is under uniform

(b) When the velocity of a body increases uniformly from zero/ body is under uniform acceleration:

Let's understand it with the help of example

(attachment 2)

Distance travelled 0 to 4 sec

→ Area under slope OP

→ Area of triangle OPQ

→ Distance travelled 0 to 4 sec

→ ½ ×OQ × PQ

→ ½ × 4 × 16

→ 32 m