How can I find Initial velocity of a projectile with given height, distance, and time?

Question

This is a projectile motion question. I'm given the following context:

Height: 0.67 m

Distance: 2.98 m

Time: 1.1 s

Gravitational Acceleration: 9.8 m/s^2

How can I find the initial velocity?

Answer 1

v_0x = 2.98m/1.1s = 2.71 m/s

y = v_0yt - gt²/2 or 0.67 = 1.1v_0y - 9.8·1.1²/2; 1.1v_0y = 0.67 + 5.929; v_0y = 6.0 m/s

v₀ = (2.71² + 6.0²)^1/2 = 6.58 m/s