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Answers
Answer:
b) time=2 sec and speed=20 m/s
Explanation:
DEAR STUDENT,
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b) GIVEN: h = 20m
u = 0m/s
TO FIND: t = ?
v = ?
SOLUTION:
FORMULAE APPLIED: 1) h = ut + 1/2gt^2
2) v = u + gt
h = ut + 1/2gt^2
=> 20 = 1/2 x 10t^2
=> 40 = 10t^2
=> 4 = t^2
=> t = 2 sec .......1
Now,
v = u + gt
v = 10 x 2 .......(FROM 1)
v = 20 m/s
CONCLUSION: The time is 2 seconds and speed is 20 m/s
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REGARDS.
DEAR VAMP.
SOLUTION
FIRSTLY I MAKE SURE THAT INITIAL VELOCITY OF THE BIKE IS ZERO .
let t be the time in which the theif was caught by the policemen
distance travelled by the theif
s=ut+1/2at^2. (u=0)
s=1/2at^2.....(1)
distance travelled by policemen to catch theif
s+d=ut+1/2at^2 (a=0)
s + d = ut......(2)
where u is the velocity of the policemen
put (1) in (2)
d + 1/2at^2 = ut
2d + at^2 -2ut = 0
at^2 - 2ut + 2d = 0
now you find a quadratic equation whose root is always real because time can never be imaginary.
so D>0
4u^2 - 8ad > 0
u^2 > 2ad
(B)
As particle dropped from height so initial velocity of the particle is zero.
acc to third equation of motion.
v^2 = u^2 + 2gh
v^2 = 0 +2(10)(20)
v^2 = 400
v = 20m/sec
acc to first equation of motion.
v = u + gt
20 = 0 + (10)t
20 = 10 t
time = 2sec