Questions: A ball is launched upward at an angle. The diagram at the right shows approximate values of the horizontal and vertical velocity at 0.0 seconds. For the three times below, identify the size and direction of the vx and vy vectors.

A ball is launched upward at an angle. The diagram at the right shows approximate values of the horizontal and vertical velocity at 0.0 seconds. For the three times below, identify the size and direction of the vx and vy vectors.

Transcript text: A ball is launched upward at an angle. The diagram at the right shows approximate values of the horizontal and vertical velocity at 0.0 seconds. For the three times below, identify the size and direction of the $\mathrm{v}_{\mathrm{x}}$ and $\mathrm{v}_{\mathrm{y}}$ vectors.

Solution

Solution Steps

Step 1: Horizontal velocity (vx)

The horizontal velocity, v_x, remains constant throughout the projectile motion because no force acts in the horizontal direction (assuming no air resistance). The initial v_x is given as 10 m/s.

Step 2: Vertical velocity at t = 1.0 s (vy)

The initial vertical velocity, v_y0, is 30 m/s. The acceleration due to gravity is -10 m/s². Using the equation v_y = v_y0 + gt, we get: v_y = 30 m/s + (-10 m/s²)(1.0 s) = 20 m/s upwards

Step 3: Vertical velocity at t = 2.0 s (vy)

v_y = 30 m/s + (-10 m/s²)(2.0 s) = 10 m/s upwards