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B   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.
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B   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?   B View Solution
fff Find the solutions of the quadratic equation p2 + 11p + 30 = 0.
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fff 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?
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fff Write the equation - d2 + 4 = 8d - 5d2 in the standard form. fff View Solution
fff Find the values of 6j, in the equation 14 j 2 - 1 = 12 j + 1.
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fff Compare 1516n2 - 6 = 14n - 1 with the standard form and find the value of b2 - 4ac. fff View Solution
fff Which of the following quadratic equations has the solutions [7±(49+24)]6?
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fff What are the values of a, b and c in the quadratic formula used to solve the equation 7e2 - 5 + e = - e2 + 6e? fff View Solution
fff What are the values of a, b and c in the equation 4f 2 - 2f + 48 = 0, which is in the standard form? fff View Solution
fff Write the equation 14g2 - 3 = - 1920g, in the standard form.
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fff Find the value of b2 - 4ac, for the equation -6z2 - 19z - 10 = 0.
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fff Rewrite the equation 3h22 + 5 = h2 + (11h10), into the standard form and identify the values of a, b and c. fff View Solution
fff Find the x-intercepts of the graph of y = - x2 - 2x + 35. fff View Solution
fff 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. fff View Solution
fff 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)
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fff Find the x-intercepts of the graph of y = x2 + 7x - 44. fff View Solution
fff 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. fff View Solution
fff 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.
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fff 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.
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fff What are the values of a, b and c in the equation 4f 2 - 8f + 36 = 0, which is in the standard form? fff View Solution
fff 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.
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fff Rewrite the equation 4h23 + 7 = h2 + (7h6), into the standard form and identify the values of a, b and c. fff View Solution
fff What are the values of a, b and c in the equation 5f 2 - 3f + 43 = 0, which is in the standard form? fff View Solution
fff Write the equation 13g2 - 3 = - 1112g, in the standard form.
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fff Write the equation - d2 + 3 = 8d - 8d2 in the standard form. fff View Solution
fff Find the value of b2 - 4ac, for the equation -20b2 - 35b - 15 = 0.
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fff Find the solutions of the quadratic equation p2 + 6p + 9 = 0.
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fff 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?
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fff Which of the following are the solutions of the quadratic equation ax2 + bx + c = 0, when a ≠ 0 and b2 - 4ac ≥ 0? fff View Solution
fff What are the values of a, b and c in the quadratic formula used to solve the equation 3e2 - 3 + e = - e2 + 4e? fff View Solution
fff Find the values of 5j, in the equation 16 j 2 - 2 = 13 j + 2.
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fff Solve the equation 13k2 - 3k + 6 = 0 by using the quadratic formula. fff View Solution
fff Compare 1415n2 - 4 = 15n - 2 with the standard form and find the value of b2 - 4ac. fff View Solution
fff Which of the following quadratic equations has the solutions [9±(81+48)]8?
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fff Find the x-intercepts of the graph of y = - x2 - 3x + 28. fff View Solution
fff 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. fff View Solution
fff 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)
 fff
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fff Find the x-intercepts of the graph of y = x2 + 2x - 15. fff View Solution
fff 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. fff View Solution
fff 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.
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fff 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?
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fff 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.
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fff What are the values of a, b and c in the equation 2f 2 - 9f + 11 = 0, which is in the standard form? fff View Solution
fff 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.
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fff Solve the equation 13k2 - 3k + 6 = 0 by using the quadratic formula.
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