Olympiad problems

2009 F = Ma, 1

Tags: 2009 , Problem 1

A $\text{0.3 kg}$ apple falls from rest through a height of $\text{40 cm}$ onto a flat surface. Upon impact, the apple comes to rest in $\text{0.1 s}$, and $\text{4 cm}^2$ of the apple comes into contact with the surface during the impact. What is the average pressure exerted on the apple during the impact? Ignore air resistance. (A) $\text{67,000 Pa}$ (B) $\text{21,000 Pa}$ (C) $\text{6,700 Pa}$ (D) $\text{210 Pa}$ (E) $\text{67 Pa}$

2010 Contests, 1

Tags: 2010 , Problem 1

If the graph is a graph of POSITION vs. TIME, then the squirrel has the greatest speed at what time(s) or during what time interval(s)? (A) From A to B (B) From B to C only (C) From B to D (D) From C to D only (E) From D to E

2010 F = Ma, 1

Tags: 2010 , Problem 1

If the graph is a graph of POSITION vs. TIME, then the squirrel has the greatest speed at what time(s) or during what time interval(s)? (A) From A to B (B) From B to C only (C) From B to D (D) From C to D only (E) From D to E

2011 F = Ma, 1

Tags: 2011 , Problem 1

A cyclist travels at a constant speed of $\text{22.0 km/hr}$ except for a $20$ minute stop. The cyclist’s average speed was $\text{17.5 km/hr}$. How far did the cyclist travel? (A) $\text{28.5 km}$ (B) $\text{30.3 km}$ (C) $\text{31.2 km}$ (D) $\text{36.5 km}$ (E) $\text{38.9 km}$

2008 F = Ma, 1

Tags: 2008 , Problem 1

A bird flying in a straight line, initially at $\text{10 m/s}$, uniformly increases its speed to $\text{18 m/s}$ while covering a distance of $\text{40 m}$. What is the magnitude of the acceleration of the bird? (a) $\text{0.1 m/s}^2$ (b) $\text{0.2 m/s}^2$ (c) $\text{2.0 m/s}^2$ (d) $\text{2.8 m/s}^2$ (e) $\text{5.6 m/s}^2$