Question

The velocity of a particle constrained to move along the x-axis as a function of time t is given by/

Answer 1

Answer:

Step-by-step explanation:

The velocity of a particle constrained to move along the x-axis as a function of time t is given by:

v(t)=−(11/t0)sin(t/t0).

A) If the particle is at x=6 m when t=0, what is its position at t = 9t0. You will not need the value of t0 to solve any part of this problem. If it is bothering you, feel free to set t0=1 everywhere.

B) Denote instantaneous acceleration of this particle by a(t). Evaluate the expression 6 +v(0)t+a(0)t2/2 at t = 9t0. Note that v(0) and a(0) are the velocity and acceleration at time t=0.

C) Denote instantaneous acceleration of this particle by a(t). Evaluate the expression 6 +v(0)t+a(0)t2/2 at t = 9t0. Note that v(0) and a(0) are the velocity and acceleration at time t=0.

D) Evaluate v(0)t+a(0)t2/2 at t =0.19t0 to 3 significant figures. Your answers to parts (c) and (d) should be in good agreement. Try to work out why that is so before submitting the answer to part (d)