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Relating Circular Motion to SHM

a particle mo...

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a particle moves in the X-Y plane wuth the constant acceleration of 1.5 m/s2 in the direction making the angle of 37 degree with the X-axis at time t=0 the particle is at origin and the velocity is 8.0 m/s along the X-axis find the velocity and the position of the particle at t=4.0 s

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Q. A particle moves in the X-Y plane with a constant acceleration of 1.5

m s^{- 2}

in the direction making an angle of 37

^{0}

with the X-axis. At t=0 the particle is at the origin and its velocity is 8.0 m/s along the X-axis. Find the velocity of the particle at time t=4.0 sec

Q. A particle starts from the origin at time

t = 0

and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time

t = 5 s

Q. At time t = 0, a particle is at (2m, 4m). It starts moving towards positive x-axis with constant acceleration 2 m/

s^{2}

(initial velocity = 0). After 2 s, an additional acceleration of 4 m/

s^{2}

starts acting on the particle in negative y-direction also. Find after next 2 s
(a) velocity and (b) coordinate of particle.

Q. A particle is moving along positive

x -

axis with velocity

v = A - B t

A

B

are positive constants and '

t

' is in seconds. If the particle is at the origin initially, then find the coordinates of the position of the particle at

t = \frac{3 A}{B}

.

Q. A particle moves along x-axis and its acceleration at any time

t

a = 2 s i n (π t)

t

is in seconds and

a

m / s^{2}

. The initial velocity of particle (at time

t = 0

u = 0

. The distance travelled (in meters) by the particle from time

t = 0

t = 1 s

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