Chapter 10: Q. 139 (page 1196)

A flare is fired straight up from a ship at sea. Solve the equation $16 (t^{2} - 13 t + 40) = 0$ for t, the number of seconds it will take for the flare to be at an altitude of 640 feet.

Short Answer

Expert verified

t = 0 and t = 13 .

Step by step solution

Step 1. Given equation

$16 (t^{2} - 13 t + 40) = 0$ , Altitude = 640 feet .

Step 2. Solving

Given equation is ,

16 (t^{2} - 13 t + 40) = 0 Now, 16 (t^{2} - 13 t + 40) = 640 t^{2} - 13 t + 40 = 40 t (t - 13) = 0

Therefore , t = 0 and t = 13 are two possible value .

Step 3. Checking

$At t = 0, 16 ({(0)}^{2} - 13 (0) + 40) = 16 (40) = 640 At t = 13, 16 ({(13)}^{2} - 13 (13) + 40) = 640$

Therefore , 0 and 13 are satisfying the value .

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A flare is fired straight up from a ship at sea. Solve the equation $16 (t^{2} - 13 t + 40) = 0$ for t, the number of seconds it will take for the flare to be at an altitude of 640 feet.

Short Answer

Step by step solution

Step 1. Given equation

Step 2. Solving

Step 3. Checking

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A flare is fired straight up from a ship at sea. Solve the equation 16(t2-13t+40)=0 for t, the number of seconds it will take for the flare to be at an altitude of 640 feet.

Short Answer

Step by step solution

Step 1. Given equation

Step 2. Solving

Step 3. Checking

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

A flare is fired straight up from a ship at sea. Solve the equation $16 (t^{2} - 13 t + 40) = 0$ for t, the number of seconds it will take for the flare to be at an altitude of 640 feet.