The golf ball will hit the ground when the height, h, is equal to zero. This means we need to solve the equation -2t^2 + 6t + 20 = 0 for t.

First, we can simplify the equation by dividing all terms by -2, which gives us:

t^2 - 3t - 10 = 0

Next, we can factor this quadratic equation:

(t - 5)(t + 2) = 0

Setting each factor equal to zero gives the solutions t = 5 and t = -2. However, time cannot be negative in this context, so we discard t = -2.

Therefore, the golf ball will first hit the ground 5 seconds after the golfer has made contact with the ball.

Question

The golf ball will hit the ground when the height, h, is equal to zero. This means we need to solve the equation -2t^2 + 6t + 20 = 0 for t.

First, we can simplify the equation by dividing all terms by -2, which gives us:

t^2 - 3t - 10 = 0

Next, we can factor this quadratic equation:

(t - 5)(t + 2) = 0

Setting each factor equal to zero gives the solutions t = 5 and t = -2. However, time cannot be negative in this context, so we discard t = -2.

Therefore, the golf ball will first hit the ground 5 seconds after the golfer has made contact with the ball.

Knowee AI · Accepted Answer

The golf ball will hit the ground when the height, h, is equal to zero. This means we need to solve the equation -2t^2 + 6t + 20 = 0 for t.

First, we can simplify the equation by dividing all terms by -2, which gives us:

t^2 - 3t - 10 = 0

Next, we can factor this quadratic equation:

(t - 5)(t + 2) = 0

Setting each factor equal to zero gives the solutions t = 5 and t = -2. However, time cannot be negative in this context, so we discard t = -2.

Therefore, the golf ball will first hit the ground 5 seconds after the golfer has made contact with the ball.

The height, h, of a golf ball is ℎ = −2𝑡2 + 6𝑡 + 20 where t is the time, inseconds, after the golfer has made contact with the ball.Determine when the golf ball will first hit the ground