Question

4. Mrs Garcia, a physics enthusiast, goes to a water park in South Padre Island to test the concepts learned during class. She goes on a water slide that is 265 meters long and is built at an angle with the ground of θ = 30 degrees. – What is her final velocity at the end of the slide?

5. A goalkeeper kicks a soccer ball that is initially resting on the ground. She kicks the ball with an initial velocity of 8 m/s. The initial angle between the ground and the trajectory of the ball is θ=27 degrees. – How long is the ball in the air? – How far does the ball travel? – How high does the ball go? Hint: Use equations of motion and the definition of range and maximum height for projectile motion.

6. Solve the following quadratic equations: 2x 2 + 6x + 1 = 0 (1) 4x 2 + 12x + 2 = 0 (2) 9x 2 − 4x + 12 = 0 (3) (x − 1) x + 3 + 3 (x − 1) = (4 − x) (x − 1)(x − 1) (4) Hint: Factor and simplify using (x − 1).

Answer 1