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lines changed Original file line number Diff line number Diff line change @@ -44,7 +44,7 @@ Answer: \{ans_rule(30) \}
4444END_TEXT
4545
4646$t1 = -$v1/32;
47- $ans = " $v1*$v1/64" ;
47+ $ans = $v1*$v1/64;
4848ANS(num_cmp($ans));
4949
5050
@@ -55,10 +55,10 @@ position at time \( t \) (\( s(t) \)), instantaneous velocity
5555at time \( t \) (\( v(t) \)), and acceleration at time \( t\) (\(a(t)\)).
5656This relationship is given by:
5757$BR$BR
58- \[ \begin{array }
59- v(t) = s'(t) \\
60- a(t) = v'(t) = s''(t) \\
61- \end{array }
58+ \[ \begin{split }
59+ v(t) & = s'(t) \\
60+ a(t) & = v'(t) = s''(t) \\
61+ \end{split }
6262\]
6363$BR$BR
6464With this in mind, this problem becomes an exercise in finding
@@ -92,11 +92,11 @@ and we know the stone struck the ground (so its position was 0) at
9292\( t = !{$t1:%5.3f} \), we can solve the following equation for \( C_2 \).
9393$BR$BR
9494\[
95- \begin{array }
96- s(!{$t1:%5.3f}) = 0 \\
97- -16(!{$t1:%5.3f})^2 + C_2 = 0 \\
98- C_2 = !{$ans:%5.3f} \\
99- \end{array }
95+ \begin{split }
96+ s(!{$t1:%5.3f}) &= 0 \\
97+ -16(!{$t1:%5.3f})^2 + C_2 & = 0 \\
98+ C_2 & = !{$ans:%5.3f} \\
99+ \end{split }
100100\]
101101Now, since we want to know the height from which the stone was dropped, we
102102just need to find its position at time \( t = 0 \). But this is \( s(0) = -16(0)^2+ $ans \)
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