Question

A particle moving along the x-axis has its position described by the function x = (2t^2 + 2t + 4) m, where t is in s.

A) At t= 4s, what is the particles position?

B) At t = 4s, what is the particles velocity?

C) At t = 4s, what is the particles acceleration?

Answer 1

given

x = 2t² + 2t + 4

A)

position at t = 4 s

x = 2*(4)² + 2*4 + 4

x = 44 m

B)

v = dx/dt

v = 4*t + 2

velocity at t = 4 s

v = 4*4 +2

v = 18 m/s

C)

a = dv/dt

a = 4

so acceleration at t = 4 s

a = 4 m/s²