6.3 SPM Practice (Long Questions)


Question 1:



The diagram above shows the distance-time graph of a moving particle for 5 seconds. Find
(a) the distance travel by the particle from the time 2 second to 5 second.
(b)   the speed of the particle for the first 2 seconds.

Solution:

(a)
Distance travel by the particle from the time 2 second to 5 second
= 20 – 15
= 5 m

(b)
The speed of the particle for the first 2 seconds
= Gradient 
=15020=7.5ms1



Question 2:



The diagram above shows the distance-time graph of a moving car for 12 seconds. Find
(a)    the value of v, if the average speed of the car for the first 6 seconds is 2 ms-1.
(b)   average speed of the car for the first 8 seconds.

Solution:

(a)
Average speed of the car for the first 6 seconds is 2 ms-1Total distance travelledTotal time taken=2v6=2v=12

(b)
Average speed of the car for the first 8 seconds=158=1.875 ms1