a particles moves along a Straight line with a constant acceleration
'a' the distance covered by the particles in the nth second
a) does not depend on the initial velocity
b) does not depend on the constant acceleration
c) is given by ( formula attached)
d) is given by ( formula attached)
Answers
Explanation:
A particle moving with a constant acceleration from A to B in the straight line AB has velocities u and v at A and B respectively. If C is the mid-point of AB then the velocity of particle while passing C will be:
Medium
share
Share
CALCULATOR
Enter the known values to find unknown
Acceleration
Distance
Final Velocity
v = u + a*t
Initial Velocity u
m/s
Final Velocity v
m/s
Time t
s
Acceleration a
m/s²
RESET VALUES
Answer
Correct option is
A
2
v
2
+u
2
Let the distance between A and B=s and as mentioned C is the midpoint of A and B thus distance between A C and
C B=
2
s
From equation of motion we get distance between AB
v
2
=u
2
+2as
s=
2a
v
2
−u
2
----------(1)
Let speed of the vehicle be pm/s at point C
Again from equation of motion we get,
p
2
=u
2
+2a
2
s
as distance between A and C is
2
s
s=
a
p
2
−u
2
-------(2)
Computing 1 and 2 we get
a
p
2
−u
2
=
2a
v
2
−u
2
p
2
=
2
v
2
+u
2
p=
2
v
2
+u
2