44) A car starts from rest and moves with a uniform acceleration of 1 m/s2 for 10 seco
then moves with a uniform velocity 30 seconds. The brakes are then applied and the car is
brought to rest in 10 seconds. Find the total distance covered by the car
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Answer:
400 m
Explanation:
initial velocity = 0
use the equation, v = at to find the max velocity before it becomes constant ,
a × t= 10 m/s
distance travelled ,S1 = u^2 / 2a = 100/2 = 50m
then velocity is constant ,so distance travelled, S2 = v×t = 10 × 30 = 300m
then final velocity is zero as the object stops so u = 10 m/s and v = 0
find the acc first, v = at , a = v/t = 10/10 = 1m/s^2
now find out distance ...S3 = u^2 / 2a = 100/2 = 50m
so total distance travelled = S1 +S2+ S3 = 400 m
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