Question

. A football is punted into the air. Its height h, in metres, after t seconds is given by the equation h = ?4.9t2 + 24.5t +1. How high is the ball after 1 second?

Answer 1

The football has a height of 20.6 meters after 1 second when substituting t=1 into the given equation h = -4.9t^2 + 24.5t + 1.

Step-by-step explanation:

To determine how high the football is after 1 second, we simply need to plug the value 't = 1' into the quadratic equation h = -4.9t^2 + 24.5t + 1.

Using this value, we have:

At t = 1 second:

• h = -4.9(1)2 + 24.5(1) + 1
• h = -4.9 + 24.5 + 1
• h = 20.6 meters

Therefore, the football is 20.6 meters high after 1 second.

Answer 2

Answer:

After 1 second ball is 20.6 meters high.

Step-by-step explanation:

A football is punted into the air. Its height h, in metres, after t seconds is given by the equation, h = -4.9t² +24.5t + 1

We need to find height when t = 1 second.

Substituting,

h = -4.9t² +24.5t + 1

= -4.9 x 1² + 24.5 x 1 + 1

= 20.6 meters.

After 1 second ball is 20.6 meters high.