# A ball is shot from the ground into the air

1. Sep 23, 2010

### cnalamolu

1. The problem statement, all variables and given/known da
A ball is shot from the ground into the air. At a height of 9.7 m, the velocity is observed to be
v = (7.4)i + (5.1)j in meters per second (i horizontal, j upward).

2. Relevant equations
What will be the total horizontal distance traveled by the ball?
What is the velocity of the ball (magnitude and direction) the instant before it hits the ground? What is its j-component?

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Sep 23, 2010

### jhae2.718

Are you familiar with the kinematic equations for projectile motion?

3. Sep 23, 2010

### cnalamolu

$$x(t)=v_{0x}t$$
$$y(t)=v_{0y}t-\frac{gt^2}{2}$$
This assumes the projectile starts from (0,0), which is hinted at in the problem. Here, $$v_{0x}$$ is the x-component of initial velocity, and $$v_{0y}$$ is the y-component of initial velocity.