A particle starting from rest moves in a straight line with accelerati

1.	A particle starting from rest moves in a straight line with acceleration asshown in the a-t graph. Find the distance (in m) travelled by the particle inthe first four seconds from start of its motion.
Answer» Answer: ✔Initial velocity of the particle(u) = 0 ✔Final velocity of the particle, V = 18 km/h = 5m/s ▶Time(t) = 5s ▶Acceleration(a) = (v − u)/t ▶a = (5 − 0)/5 = 1 m/s^2 ▶DISTANCE (s) =ut+1/2at^2 ▶s=12×1×(5×5)=12.5 m a) Average velocity =Total displacement/Total time taken ▶Average =(12.5)/5 = 2.5 m/s b) Distance travelled, s = 12.5 m

A particle starting from rest moves in a straight line with acceleration asshown in the a-t graph. Find the distance (in m) travelled by the particle inthe first four seconds from start of its motion.

Answer»

Answer:

✔Initial velocity of the particle(u) = 0

✔Final velocity of the particle, V = 18 km/h = 5m/s

▶Time(t) = 5s

▶Acceleration(a) = (v − u)/t

▶a = (5 − 0)/5 = 1 m/s^2

▶DISTANCE (s) =ut+1/2at^2

▶s=12×1×(5×5)=12.5 m

a) Average velocity =Total displacement/Total time taken

▶Average =(12.5)/5 = 2.5 m/s

b) Distance travelled, s = 12.5 m