a bus starts from rest with a constant acceleration of 5 m/sec Square. at the same time a car travelling at a constant velocity of 50m/sec overtakes the Bus and passes it. find at what distance will the bus overtake the car and how fast the bus would be travelling then
Answers
Answered by
346
DISTANCE COVERED BY CAR WILL EQUAL TO THE DISTANCE COVERED BY BUS.
SO,
UT + 1/2 AT² = 50T
0×T+1/2×5×T² = 50T
5/2 T² = 50T
5/2 T = 50
T = 50×2/5
T = 20 SECONDS
DISTANCE = SPEED × TIME
DISTANCE = 50 × 20
DISTANCE = 1000 METRES
USING 3RD EQUATION OF UNIFORMLY ACCELERATED MOTION,
V² = U² + 2AS
V² = 0² + 2×5×1000
V² = 10×1000
V = √10000
V = 100 M/S
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SO,
UT + 1/2 AT² = 50T
0×T+1/2×5×T² = 50T
5/2 T² = 50T
5/2 T = 50
T = 50×2/5
T = 20 SECONDS
DISTANCE = SPEED × TIME
DISTANCE = 50 × 20
DISTANCE = 1000 METRES
USING 3RD EQUATION OF UNIFORMLY ACCELERATED MOTION,
V² = U² + 2AS
V² = 0² + 2×5×1000
V² = 10×1000
V = √10000
V = 100 M/S
PLZ MARK IT AS BRAINLIEST ANSWER AND DROP A ♥
Answered by
56
Answer:
100m/s
Explanation:
Bus: v= u +at
= 0+5t
=5t
s= ut+1/2 at²
=0t+1/2(5)t²
=5/2t²............(1)
v=s/t
Thus, s=vt
=50t...........(2)
From (1) and (2)
50t=5/2t²
Thus, t=20 s
Bus: a=v/t
v=at
=5*20
=100m/s
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