A grasshopper jumps off a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function shown.

h (t) = - t² + 4/3t + 1/4

After how many seconds will the grasshopper land on the ground?

Question

Mathematics

Lainey Galloway

23 January, 11:25

A grasshopper jumps off a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function shown.

h (t) = - t² + 4/3t + 1/4

After how many seconds will the grasshopper land on the ground?

+3

Answers (1)

Know the Answer?

Russell Calderon · Answer 1

We are given

h (t) = - t² + 4/3t + 1/4

We are to determine the time the grasshopper will land on the ground

The height when the grasshopper lands on the ground is 0

So,

0 = - t² + 4/3t + 1/4

Solving for t

t = 1.5 s

A grasshopper jumps off a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function shown.h (t) = - t² + 4/3t + 1/4After how many seconds will the grasshopper land on the ground?

A grasshopper jumps off a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function shown.

h (t) = - t² + 4/3t + 1/4

After how many seconds will the grasshopper land on the ground?