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Please help!! Need to understand
A motorcyclist started a race from START line and from rest, and accelerated with the acceleration of 2 m/s2 for 7 seconds. Then he increased the acceleration to 4 m/s2 and went with that acceleration for 8 seconds. What was the racer’s position from the START line after 7+8 seconds from the start of the race?

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ANSWER

(Refer to Image)
V=at
⇒8=a10
⇒a=0.8m/s
2

V
2
=U
2
+2as
⇒U=8
2
+2×a64
⇒a=
2×64
−64
​
=−0.5m/s
2

Distance travelled= Area of graph
⇒584=
2
1
​
×10×8+8×t
1
+
2
1
​
×16×8
⇒584=40+8t
1
+64
⇒8t
1
=480
⇒t
1
=60
Total time= 10+

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