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Part A web page designer creates an animation in which a t on a computer screen

ID: 586487 • Letter: P

Question

Part A web page designer creates an animation in which a t on a computer screen has a position of Find the average velocity of the dot between t-0 and t 2.0 8. = [ 3.5 cm +( 2.0 cm/s2 )t2jf + ( 5.1 cm/s )tj think the x component is 3 and the y component is 4, then you should enter 3,4 Express your answer using two significant figures cm/s Part B Find the instantaneous velocity at t 0 Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y componenk is 4, then you should enter 3,4 Express your answer using two significant figures cm/s My Answers Give Up Submit Part C

Explanation / Answer

A)

x(t) = r
= 3.5 i + 2*t^2 i + 5.1*t j

A)
x(0) = 3.5 i cm
x(2) = 3.5 i + 2*2^2 i + 5.1*2 j
= 11.5 i + 10.2 j cm

average velocity = change in displacement / chnage in time
= (11.5i + 10.2 j - 3.5 i) / (2-0)
= (8.0i +10.2 j) / 2
= 4.0i + 5.1 j
Answer: 4.0,5.1 cm/s

B)
x(t)= 3.5 i + 2*t^2 i + 5.1*t j
v(t) = 4*t i + 5.1 j

at t= 0 s
v(0) = 4*0 i + 5.1 j
= 5.1 j

Answer: 0, 5.1 cm/s

C)
v(t) = 4*t i + 5.1 j

at t= 1 s
v(0) = 4*1 i + 5.1 j
= 4.0 i + 5.1 j

Answer: 4.0 , 5.1 cm/s

D)
v(t) = 4*t i + 5.1 j

at t= 2 s
v(0) = 4*2 i + 5.1 j
= 8.0 i + 5.1 j

Answer: 8.0 , 5.1 cm/s