Found problems: 4
2009 F = Ma, 19
A certain football quarterback can throw a football a maximum range of $80$ meters on level ground. What is the highest point reached by the football if thrown this maximum range? Ignore air friction.
(A) $\text{10 m}$
(B) $\text{20 m}$
(C) $\text{30 m}$
(D) $\text{40 m}$
(E) $\text{50 m}$
2011 F = Ma, 19
After how much time will the particle first return to the origin?
(A) $\text{0.785 s}$
(B) $\text{1.26 s}$
(C) $\text{1.57 s}$
(D) $\text{2.00 s}$
(E) $\text{3.14 s}$
2010 F = Ma, 19
Consider the following graphs of position [i]vs.[/i] time.
[asy]
size(500);
picture pic;
// Rectangle
draw(pic,(0,0)--(20,0)--(20,15)--(0,15)--cycle);
label(pic,"0",(0,0),S);
label(pic,"2",(4,0),S);
label(pic,"4",(8,0),S);
label(pic,"6",(12,0),S);
label(pic,"8",(16,0),S);
label(pic,"10",(20,0),S);
label(pic,"-15",(0,2),W);
label(pic,"-10",(0,4),W);
label(pic,"-5",(0,6),W);
label(pic,"0",(0,8),W);
label(pic,"5",(0,10),W);
label(pic,"10",(0,12),W);
label(pic,"15",(0,14),W);
label(pic,rotate(90)*"x (m)",(-2,7),W);
label(pic,"t (s)",(11,-2),S);
// Tick Marks
draw(pic,(4,0)--(4,0.3));
draw(pic,(8,0)--(8,0.3));
draw(pic,(12,0)--(12,0.3));
draw(pic,(16,0)--(16,0.3));
draw(pic,(20,0)--(20,0.3));
draw(pic,(4,15)--(4,14.7));
draw(pic,(8,15)--(8,14.7));
draw(pic,(12,15)--(12,14.7));
draw(pic,(16,15)--(16,14.7));
draw(pic,(20,15)--(20,14.7));
draw(pic,(0,2)--(0.3,2));
draw(pic,(0,4)--(0.3,4));
draw(pic,(0,6)--(0.3,6));
draw(pic,(0,8)--(0.3,8));
draw(pic,(0,10)--(0.3,10));
draw(pic,(0,12)--(0.3,12));
draw(pic,(0,14)--(0.3,14));
draw(pic,(20,2)--(19.7,2));
draw(pic,(20,4)--(19.7,4));
draw(pic,(20,6)--(19.7,6));
draw(pic,(20,8)--(19.7,8));
draw(pic,(20,10)--(19.7,10));
draw(pic,(20,12)--(19.7,12));
draw(pic,(20,14)--(19.7,14));
// Path
add(pic);
path A=(0,14)--(20,14);
draw(A);
label("I.",(8,-4),3*S);
path B=(0,6)--(20,6);
picture pic2=shift(30*right)*pic;
draw(shift(30*right)*B);
label("II.",(38,-4),3*S);
add(pic2);
path C=(0,12)--(20,14);
picture pic3=shift(60*right)*pic;
draw(shift(60*right)*C);
label("III.",(68,-4),3*S);
add(pic3);
[/asy]
Which of the graphs could be the motion of a particle in the given potential?
(A) $\text{I}$
(B) $\text{III}$
(C) $\text{I and II}$
(D) $\text{I and III}$
(E) $\text{I, II, and III}$
2008 F = Ma, 19
A car has an engine which delivers a constant power. It accelerates from rest at time $t = 0$, and at $t = t_\text{0}$ its acceleration is $a_\text{0}$. What is its acceleration at $t = 2t_\text{0}$? Ignore energy loss due to friction.
(a) $\frac{1}{2}a_\text{0}$
(b) $\frac{1}{\sqrt{2}}a_\text{0}$
(c) $a_\text{0}$
(d) $\sqrt{2}a_\text{0}$
(e) $2a_\text{0}$