Priya throws a ball upward; its height (m) after t seconds is h = -5t^2 + 10t. To find when the ball is at height 6 m, she forms 5t^2 - 10t + 6 = 0. What does the discriminant tell her about the ball reaching 6 m?

Question

Accepted Answer

It never reaches 6 m (no real t). a = 5, b = -10, c = 6. D = 100 - 4(5)(6) = 100 - 120 = -20 < 0. No real t, so the ball never reaches 6 m.

Priya throws a ball upward; its height (m) after $t$ seconds is $h = - 5 t^{2} + 10 t$ . To find when the ball is at height 6 m, she forms $5 t^{2} - 10 t + 6 = 0$ .
What does the discriminant tell her about the ball reaching 6 m?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Discriminant and Nature of Roots practice

Priya throws a ball upward; its height (m) after t seconds is h=−5t2+10t. To find when the ball is at height 6 m, she forms 5t2−10t+6=0.What does the discriminant tell her about the ball reaching 6 m?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Discriminant and Nature of Roots practice

Priya throws a ball upward; its height (m) after $t$ seconds is $h = - 5 t^{2} + 10 t$ . To find when the ball is at height 6 m, she forms $5 t^{2} - 10 t + 6 = 0$ .
What does the discriminant tell her about the ball reaching 6 m?