6.3 SPM Practice (Long Questions)

Posted on April 24, 2020 by user

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

\begin{array}{l} = \frac{15 - 0}{2 - 0} \\ = 7.5 {ms}^{- 1} \end{array}

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)

\begin{array}{l} {Average speed of the car for the first 6 seconds is 2 ms}^{-1} \\ \frac{Total distance travelled}{Total time taken} = 2 \\ \frac{v}{6} = 2 \\ v = 12 \end{array}

(b)

\begin{array}{l} Average speed of the car for the first 8 seconds \\ = \frac{15}{8} \\ = 1.875 m s^{- 1} \end{array}