a bus accelerates uniformly from 54 km per hour to 72 km per hour in 10 seconds calculate the distance covered by the bus in metres during interval and also find the acceleration in metre per second square
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Answered by
152
u=54km/h =54*5/18=15m/s.
v=72km/h=72*5/18=20m/s.
t=10s.
a=v-u/t.
a=20-15/10.
a=5/10.
a=1/5.
a=0.2m/s.
s=ut +at2/2.
s=150+20/2.
s=150+10.
s=160m.
v=72km/h=72*5/18=20m/s.
t=10s.
a=v-u/t.
a=20-15/10.
a=5/10.
a=1/5.
a=0.2m/s.
s=ut +at2/2.
s=150+20/2.
s=150+10.
s=160m.
Answered by
224
Answer:
Explanation:
Given :-
Initial velocity, u = 72 km/h = 72 (5/18) m/s = 20 m/s
Final velocity, v = 54 km/h = 54 (5/18) m/s = 15 m/s
Time in which velocity changes is, t = 10 seconds
To Find :-
(a) Acceleration
(b) Distance traveled
Formula to be used :-
a = (v - u)/t and v² = u² + 2aS
Solution :-
(a) Acceleration
Acceleration, a = (v - u)/t
⇒ a = (20-15)/10
= 0.5 m/s²
(b) Distance traveled by the bus
v² = u² + 2aS
⇒ 20² = 15² + 2 × 0.5 × S
⇒ 400 = 225 + 1×S
⇒ 400 - 225 = S
⇒ S = 175 m
Hence, the acceleration and distance traveled by bus is 0.5 m/s² and 175 m.
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