Horizontal Distance For Guy Landing onto a running horse

[hyde2042]

Homework Statement

The man is 3m high from the saddle on a tree limb. The horse is running at 10m/s.

A) What is the horizontal distance necessary for the men to land on the horse

B) How long is he in the air

Homework Equations

I used y/accel to get the amount of time for him to hit the saddle
Then multiplied by V of the horse to get the horizontal distance

The Attempt at a Solution

I divided 3m/9.8m/s to get the amount of time for him to hit the saddle which was .306

and multiplied by 10m/s to get the distance needed for the horse to be away from the man. So 3.06 meters.

The answer in the back of the book says 45. (a) 7.82 m (b) 0.782 s

I'm not even close so can someone tell me what I'm missing?

 

[PeterO]

Homework Statement

The man is 3m high from the saddle on a tree limb. The horse is running at 10m/s.

A) What is the horizontal distance necessary for the men to land on the horse

B) How long is he in the air

Homework Equations

I used y/accel to get the amount of time for him to hit the saddle
Then multiplied by V of the horse to get the horizontal distance

The Attempt at a Solution

I divided 3m/9.8m/s to get the amount of time for him to hit the saddle which was .306

and multiplied by 10m/s to get the distance needed for the horse to be away from the man. So 3.06 meters.

The answer in the back of the book says 45. (a) 7.82 m (b) 0.782 s

I'm not even close so can someone tell me what I'm missing?

Well for a start the acceleration due to gravity is 9.8 m/s^2, not a velocity so your time to fall will be wrong

 

[hyde2042]

OH my goodness... I knew it wasn't that simple. Thank you for pointing that out to me. Much appreciated.