Question

Calculate the displacement of a particle with position vector r = 3t²i + 4t²j + 7k metre in 10 s.

Answer 1

Dear Student,

◆ Answer -

Displacement = 300i + 400j

● Explaination -

Position of particle at t = 0 s is -

r = 3t²i + 4t²j + 7k

r1 = 3×0²i + 4×0²j + 7k

r1 = 7k m

Position of particle at t = 10 s is -

r = 3t²i + 4t²j + 7k

r2 = 3×10²i + 4×10²j + 7k

r2 = 300i + 400j + 7k m

Displacement in 10 s is -

s = r2 - r1

s = 300i + 400j + 7k - 7k

s = 300i + 400j m

Therefore, displacement of particle in 10 s is 300i + 400j m.

Hope this helps you...