A student sits on the roof of their house which is 17 meters high. She can launch water balloons (horizontally)from a slingshot at 21m/s. How far will each balloon travel (horizontally)? 39.06 meters 0.06 meters 23.06 meters 43.06 meters

Question

A student sits on the roof of their house which is 17 meters high. She can launch water balloons (horizontally)from a slingshot at 21m/s. How far will each balloon travel (horizontally)? 39.06 meters 0.06 meters 23.06 meters 43.06 meters

Answer 1

To solve this problem, we need to use the principles of projectile motion.Given information:- The height of the roof is 17 meters.- The initial velocity of the water balloons is 21 m/s (horizontally).Step 1: Calculate the time it takes for the water balloon to fall to the ground.Using the equation of motion for vertical motion:h = (1/2)gt^2Where:h = height (17 m)g = acceleration due to gravity (9.8 m/s^2)t = timeRearranging the equation to solve for time:t = √(2h/g)t = √(2 × 17 m / 9.8 m/s^2)t = 1.85 secondsStep 2: Calculate the horizontal distance traveled by the water balloon.Using the equation of motion for horizontal motion:x = v × tWhere:x = horizontal distancev = initial horizontal velocity (21 m/s)t = time (1.85 seconds)x = 21 m/s × 1.85 sx = 39.06 metersTherefore, the correct answer is 39.06 meters.

Problemas

A student sits on the roof of their house which is 17 meters high. She can launch water balloons (horizontally)from a slingshot at 21m/s. How far will each balloon travel (horizontally)? 39.06 meters 0.06 meters 23.06 meters 43.06 meters

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