A ball is thrown from an initial height of 1 meter with an initial upward velocity of 25/ms. The ball's height h (in meters) after t seconds is given by the following. h=1+25t-5t^2 Find all values of

t for which the ball's height is

11meters.

Question

Vivian Henry

Mathematics

4 May, 20:09

A ball is thrown from an initial height of 1 meter with an initial upward velocity of 25/ms. The ball's height h (in meters) after t seconds is given by the following. h=1+25t-5t^2 Find all values of

t for which the ball's height is

11meters.

+5

Answers (1)

Know the Answer?

Davian Pratt · Answer 1

Set h = 11

11=-5t^2+25t+1

-5t^2+25t-10=0

Now use quadratic formula to solve for t

t=[-b+/-sqrt (b^2-4ac) ] / (2a)

t = [-25+/-sqrt ((25) ^2-4 (-5) (-10)) ]/2 (-5)

t =.438sec and 4.562sec

A ball is thrown from an initial height of 1 meter with an initial upward velocity of 25/ms. The ball's height h (in meters) after t seconds is given by the following. h=1+25t-5t^2 Find all values oft for which the ball's height is11meters.

A ball is thrown from an initial height of 1 meter with an initial upward velocity of 25/ms. The ball's height h (in meters) after t seconds is given by the following. h=1+25t-5t^2 Find all values of

t for which the ball's height is

11meters.