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Solved Examples
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DD  Matt jumped from a bungee tower, which was 729 feet high. Find the time taken by him to reach the ground, if the equation that models his height is h = - 16t2 + 729, where t is the time in seconds.
  DD
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DD  Tommy throws a pencil from a building with an initial downward velocity of - 10 feet per second. How long will the pencil take to reach the ground, if the height of the pencil from the ground is modeled by the equation h = - 16t2 - 10t + 125, where t is the time in seconds?  DD View Solution
DD  Find the solutions of the quadratic equation p2 + 11p + 30 = 0.
  DD
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DD  Brad throws a pen from the top of a 124 feet tall building with an initial downward velocity of - 30 feet per second. How long will the pen take to reach the ground?
  DD
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DD  Write the equation - d2 + 4 = 8d - 5d2 in the standard form.  DD View Solution
DD  Find the values of 6j, in the equation 14 j 2 - 1 = 12 j + 1.
  DD
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DD  Compare 1516n2 - 6 = 14n - 1 with the standard form and find the value of b2 - 4ac.  DD View Solution
DD  Which of the following quadratic equations has the solutions [7±(49+24)]6?
  DD
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DD  What are the values of a, b and c in the quadratic formula used to solve the equation 7e2 - 5 + e = - e2 + 6e?  DD View Solution
DD  What are the values of a, b and c in the equation 4f 2 - 2f + 48 = 0, which is in the standard form?  DD View Solution
DD  Write the equation 14g2 - 3 = - 1920g, in the standard form.
  DD
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DD  Find the value of b2 - 4ac, for the equation -6z2 - 19z - 10 = 0.
  DD
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DD  Rewrite the equation 3h22 + 5 = h2 + (11h10), into the standard form and identify the values of a, b and c.  DD View Solution
DD  Find the x-intercepts of the graph of y = - x2 - 2x + 35.  DD View Solution
DD  Nina dives into a pool from the diving board, which was 4 feet high from the water. She dives with an initial downward velocity of - 12 feet per second. If the equation to model the height of the dive is h = - 16t2 + (- 12)t + 4, then find the time in seconds taken by Nina to reach the water level.  DD View Solution
c   Justin stands on a bridge 73.5 feet above the ground holding an apple. He throws it with an initial downward velocity of - 25 feet per second. How long will it take for the apple to reach the ground, if the vertical motion is given by the equation h = - 16t2 + vt + s.
(s = 73.5 feet)
   c
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c   Find the x-intercepts of the graph of y = x2 + 7x - 44.   c View Solution
c   A stone is dropped from a height of 25 feet above the ground. The height of the stone is modeled by the equation h = - 16t2 + 25, where t is the time in seconds. Find the time taken for the stone to hit the ground.   c View Solution
c   Tim runs a textile company that manufactures T-shirts. The profit made by the company is modeled by the function p = s2 + 6s - 1755, where s is the number of T-shirts sold. Find the least number of T-shirts to be sold so that Tim does not end up in a loss.
   c
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c   Josh drops a ball from a height of 100 feet above the ground. Calculate the time taken by the ball to hit the ground, if its height is given by the equation h = - 16t2 + 100, where t is the time in seconds.
   c
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c   What are the values of a, b and c in the equation 4f 2 - 8f + 36 = 0, which is in the standard form?   c View Solution
c   Write the equation which is used to model the height of an object that is thrown down with an initial velocity of - 9 feet per second from a height of 28 feet.
   c
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c   Rewrite the equation 4h23 + 7 = h2 + (7h6), into the standard form and identify the values of a, b and c.   c View Solution
c   What are the values of a, b and c in the equation 5f 2 - 3f + 43 = 0, which is in the standard form?   c View Solution
c   Write the equation 13g2 - 3 = - 1112g, in the standard form.
   c
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c   Write the equation - d2 + 3 = 8d - 8d2 in the standard form.   c View Solution
c   Find the value of b2 - 4ac, for the equation -20b2 - 35b - 15 = 0.
   c
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c   Find the solutions of the quadratic equation p2 + 6p + 9 = 0.
   c
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c   Jake throws a pen from the top of a 124 feet tall building with an initial downward velocity of - 30 feet per second. How long will the pen take to reach the ground?
   c
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c   Which of the following are the solutions of the quadratic equation ax2 + bx + c = 0, when a ≠ 0 and b2 - 4ac ≥ 0?   c View Solution
c   What are the values of a, b and c in the quadratic formula used to solve the equation 3e2 - 3 + e = - e2 + 4e?   c View Solution
c   Find the values of 5j, in the equation 16 j 2 - 2 = 13 j + 2.
   c
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c   Solve the equation 13k2 - 3k + 6 = 0 by using the quadratic formula.   c View Solution
c   Compare 1415n2 - 4 = 15n - 2 with the standard form and find the value of b2 - 4ac.   c View Solution
c   Which of the following quadratic equations has the solutions [9±(81+48)]8?
   c
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c   Find the x-intercepts of the graph of y = - x2 - 3x + 28.   c View Solution
c   Hanna dives into a pool from the diving board, which was 16 feet high from the water. She dives with an initial downward velocity of - 24 feet per second. If the equation to model the height of the dive is h = - 16t2 + (- 24)t + 16, then find the time in seconds taken by Hanna to reach the water level.   c View Solution
c   John stands on a bridge 73.5 feet above the ground holding an apple. He throws it with an initial downward velocity of - 25 feet per second. How long will it take for the apple to reach the ground, if the vertical motion is given by the equation h = - 16t2 + vt + s.
(s = 73.5 feet)
   c
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c   Find the x-intercepts of the graph of y = x2 + 2x - 15.   c View Solution
c   A stone is dropped from a height of 9 feet above the ground. The height of the stone is modeled by the equation h = - 16t2 + 9, where t is the time in seconds. Find the time taken for the stone to hit the ground.   c View Solution
c   Tim runs a textile company that manufactures T-shirts. The profit made by the company is modeled by the function p = s2 + 3s - 990, where s is the number of T-shirts sold. Find the least number of T-shirts to be sold so that Tim does not end up in a loss.
   c
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c   A tennis player hits a ball when it is 8 feet off the ground. The ball is hit with an upward velocity of 8 feet per second. After the ball is hit, its height h(in feet) is modeled by h = - 16t2 + 8t + 8, where t is the time in seconds. How long will it take the ball to reach the ground?
   c
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c   George drops a ball from a height of 49 feet above the ground. Calculate the time taken by the ball to hit the ground, if its height is given by the equation h = - 16t2 + 49, where t is the time in seconds.
   c
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c   What are the values of a, b and c in the equation 2f 2 - 9f + 11 = 0, which is in the standard form?   c View Solution
c   Write the equation which is used to model the height of an object that is thrown down with an initial velocity of - 3 feet per second from a height of 19 feet.
   c
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c   Solve the equation 13k2 - 3k + 6 = 0 by using the quadratic formula.
   c
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