Q- An object is moving along the x mdash- axis with unifonn acceleration of 4m-s2 - At time t - 0- x - 5 m and v - 3 m-s- nbsp-a- What will be the velocity and the position of the object at time t - 2s- nbsp-b- What will be the position of the object when it has velocity of 5 m-s-

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Byju's Answer

Standard XII

Physics

Relating Circular Motion to SHM

Q. An object ...

Question

Q. An object is moving along the x — axis with unifonn acceleration of 4m/ $s^{2}$ . At time t = 0, x = 5 m and v = 3 m/s.
(a) What will be the velocity and the position of the object at time t = 2s.
(b) What will be the position of the object when it has velocity of 5 m/s.

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Solution

Dear Student
a = 4 m/s²

u = 3 m/s

A)
After 2 s
v = u+at = 3+4 x2 = 11 m/s
Distance travelled in 2 s
s = ut +1/2 at² = 3x2 + 1/2 (3x2x2) = 12 m
So position is 12+5 = 17 m

B)
When v = 5 m/s
v² =u²+2as
5x5 = 3x3 + 2x4xs
s= 16/8 = 2m
Position = 2+5 = 7 m

Regards

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Q. An object is moving along the x — axis with unifonn acceleration of 4m/s2 . At time t = 0, x = 5 m and v = 3 m/s. (a) What will be the velocity and the position of the object at time t = 2s. (b) What will be the position of the object when it has velocity of 5 m/s.

Dear Student a = 4 m/s2 u = 3 m/s A) After 2 s v = u+at = 3+4 x2 = 11 m/s Distance travelled in 2 s s = ut +1/2 at2 = 3x2 + 1/2 (3x2x2) = 12 m So position is 12+5 = 17 m B) When v = 5 m/s v2 =u2+2as 5x5 = 3x3 + 2x4xs s= 16/8 = 2m Position = 2+5 = 7 m Regards

Q. An object is moving along the x — axis with unifonn acceleration of 4m/ $s^{2}$ . At time t = 0, x = 5 m and v = 3 m/s.
(a) What will be the velocity and the position of the object at time t = 2s.
(b) What will be the position of the object when it has velocity of 5 m/s.

Dear Student
a = 4 m/s²

u = 3 m/s

A)
After 2 s
v = u+at = 3+4 x2 = 11 m/s
Distance travelled in 2 s
s = ut +1/2 at² = 3x2 + 1/2 (3x2x2) = 12 m
So position is 12+5 = 17 m

B)
When v = 5 m/s
v² =u²+2as
5x5 = 3x3 + 2x4xs
s= 16/8 = 2m
Position = 2+5 = 7 m

Regards