Question

Ira is launching water balloons from ground level such that they slam into the side of the house 7.27 m away. The water balloons are launched with an initial speed of 17.4 m/s at an angle of 21.3 degrees upward.

Part a) In this question, enter the value for ay needed for any projectile problem (assume that upwards is considered positive and downwards is considered negative).
Part b) List all knowns for your problem, including the accelerations.
Part c) Use trig to calculate the x and y components of the initial velocity.
Part d) Use the previous results to find the time the water balloon is in the air.
Part e) Calculate the height up the wall of the house where the water balloon hits.

Answer 1

To solve this projectile motion problem, we need to break down the initial velocity into its x and y components. The x component of the initial velocity can be calculated using the formula Vx = V * cos(theta), and the y component of the initial velocity can be calculated using the formula Vy = V * sin(theta). The value for ay needed for this projectile problem is -9.8 m/s^2, which represents the acceleration due to gravity.

Step-by-step explanation:

To solve this projectile motion problem, we need to break down the initial velocity into its x and y components. The x component of the initial velocity can be calculated using the formula Vx = V * cos(theta), where V is the initial speed and theta is the launch angle. In this case, the x component of the initial velocity is 17.4 m/s * cos(21.3°). The y component of the initial velocity can be calculated using the formula Vy = V * sin(theta), where V is the initial speed and theta is the launch angle. In this case, the y component of the initial velocity is 17.4 m/s * sin(21.3°).

Since the problem only asks for the value of ay, which is the acceleration in the y direction, we don't need to calculate the x and y components of the initial velocity or solve for the time of flight. Therefore, the value for ay needed for this projectile problem is -9.8 m/s^2, which represents the acceleration due to gravity.