When the traffic light turns green a car moves with constant acceleration 2metre per second square at the same time a truck moving with a constant speed of 10m/s overtake and passes the car. how far beyond the starting point will the car overtake the truck . how far will the car be travelling at that instant
Answers
Answer:
the car will overtake the truck after 90 m
the car was initially accelerating itself and the truck was moving constantly with a speed of 10 m/s
as the initial speed of car was 0 so the increment increased its speed slowly and after ninety metre it overtook the truck again.
the speed of the car and truck were in comparison as follows
car. truck
0+2=2m/s so 2m. 10m/s so 10 m
2+2=4m/s so 2+4=6m. 10+10=20m
4+2=6m/s so 6+6=12m. 20+10=30m
6+2=8m/s so 12+8=20m. 30+10=40m
8+2=10m/s so 20+10=30m. 40+10=50m
10+2=12m so 30+12=42m. 50+10=60m
12+2=14m so 42+14=56m. 60+10=70m
14+2=16m so 56+16=72m. 70+10=80m
16+2=18m so 72+18=90m. 80+10=90m
now both values are same so in next increment the car will overtake the truck. the car will be travelling till 110 m