Found problems: 6
2011 F = Ma, 2
Rank the [i]magnitudes[/i] of the average acceleration during the ten second interval.
(A) $\text{I} > \text{II} > \text{III}$
(B) $\text{II} > \text{I} > \text{III}$
(C) $\text{III} > \text{II} > \text{I}$
(D) $\text{I} > \text{II = III}$
(E) $\text{I = II = III}$
2009 F = Ma, 2
Suppose that all collisions are instantaneous and perfectly elastic. After a long time, which of the following is true?
(A) The center block is moving to the left.
(B) The center block is moving to the right.
(C) The center block is at rest somewhere to the left of its initial position.
(D) The center block is at rest at its initial position.
(E) The center block is at rest somewhere to the right of its initial position.
2010 Contests, 2
If, instead, the graph is a graph of VELOCITY vs. TIME, then the squirrel has the greatest speed at what time(s) or during what time interval(s)?
(A) at B
(B) at C
(C) at D
(D) at both B and D
(E) From C to D
2018 Tajikistan Team Selection Test, 8
Problem 8. For every non-negative integer n, define an n-variable function K_n (x_1,x_2,…,x_n ) as follows:
K_0=1
K_1 (x_1 )=〖x_1〗^2
K_(n+2) (x_1,x_2,…,x_(n+2) )=〖x_(n+2)〗^2.K_(n+1) (x_1,x_2,…,x_(n+1) )+(x_(n+2)+x_(n+1))K_n (x_1,x_2,…,x_n )
Prove that:
K_n (x_1,x_2,…,x_n )=K_n (x_n,…〖,x〗_2,x_1 )
2010 F = Ma, 2
If, instead, the graph is a graph of VELOCITY vs. TIME, then the squirrel has the greatest speed at what time(s) or during what time interval(s)?
(A) at B
(B) at C
(C) at D
(D) at both B and D
(E) From C to D
2008 F = Ma, 2
A cockroach is crawling along the walls inside a cubical room that has an edge length of $\text{3 m}$. If the cockroach starts from the back lower left hand corner of the cube and finishes at the front upper right hand corner, what is the magnitude of the displacement of the cockroach?
(a) $\text{3}\sqrt{2} \ \text{m}$
(b) $\text{3}\sqrt[3]{2} \ \text{m}$
(c) $\text{3}\sqrt{3} \ \text{m}$
(d) $\text{3 m}$
(e) $\text{9 m}$