An object\'s position as a function of time is given by r =12ti^+(15t5.0t2)j^m,

ID: 1440224 • Letter: A

Question

An object's position as a function of time is given by r =12ti^+(15t5.0t2)j^m, where t is time in seconds.

Part A

Express your answer as a comma-separated pair of components. Express your answer using two significant figures.

What is the object's position at t=2.0s

Part B

Express your answer as a comma-separated pair of components. Express your answer using two significant figures.

What is its average velocity in the interval from t=0 to t=2.0s?

Part C

Express your answer as a comma-separated pair of components. Express your answer using two significant figures.

What is its instantaneous velocity at t=2.0s

r = 12t i + (15t - 5t^2) j

A) at t = 2s

r = (12 x 2)i + (15x2 - 5(2^2))j

r = 24i + 10j m

B) average velocity= displacemnet / time interval

= (24i + 10j) - (0i + 0j) / 2

= 12 i + 5j m/s

C) v = dr/dt = 12i + (15 - 10t)j

at t = 2 s

v = 12i - 5j m/s