Question

The displacement x of a particle is dependent on time t according to the relation x = 3-5t+2t^2. If t is measured in sec and x in min. Find it's velocity at t = 2s and acceleration at t = 4 s​

Answer 1

Answer:

V

y

=

dt

dy

=

dx

dy

×

dt

dx

=x

3

×

2

1

=

16

t

3

at t=4

3

V

y

=

16

4×4×4

=4m/s

V

x

=

2

1

m/s

Velocity of particle is V=V

x

i

^

+V

y

j

^

=

2

1

i

^

+4

j

^

Answer 2

Answer:

The velocity of the particle at t = 2 s is 3 m/s and the acceleration at t = 4 s is .

Explanation:

 

Velocity of the particle,

At t = 2 s  

v = 3 m/s

Acceleration of the particle,

At t = 4s

a = 4m/s