Question

A particle is moving in x-y plane such that its
position co-ordinates are varying w.r.t. time as
x = 5sin121 it and y = 121cos5 it (where x and
y are in meter and t is in second). The speed of
the particle at t = 1 s is
(1) 60572 m/s (2) 1212 m/s
(3) 605 m/s (4) 1212 1 m/s​

Answer 1

Answer:

the x plane is through very slow

Explanation:

the y plane movement is very fast though

Answer 2

Given:

• Position coordinates are x =  5 sin 121 t and y = 121 cos 5 t

To find:

• Speed of the particle at t = 1 s

Answer:

• Position of the particle at t = 0, x = 0 m and y = 121 m.
• Position of the particle at t = 1 s, x = 5 sin 121 = 4.29 m and y = 120.54 m.
• Speed = $\frac{Distance}{Time} = \frac{\sqrt{(4.29-0)^2+(120.54-121)^2} }{1}$ = 4.315 m/s