Question

What is the estimated distance traveled through the air by a marshmallow that is launched from a 15-cm long launcher when it is placed 5 cm from the muzzle?

a) 10 cm

b) 15 cm

c) 5 cm

d) 20 cm

Answer 1

To find the estimated distance traveled through the air by the marshmallow, we can use the principles of projectile motion.

Step-by-step explanation:

To find the estimated distance traveled through the air by the marshmallow, we can use the principles of projectile motion. The horizontal distance traveled by the marshmallow can be calculated using the formula: horizontal distance = initial velocity * time of flight. Since the marshmallow is launched at an angle of 45 degrees above the horizontal, we can use the following formula to find the time of flight: time of flight = 2 * (initial velocity * sin(angle)) / gravity.

Using the given information, we can calculate the initial velocity by finding the length of the launcher. The initial velocity can be determined using the equation: initial velocity = (launcher length - distance from muzzle) * acceleration.

Once we have the initial velocity and time of flight, we can substitute these values into the formula for horizontal distance to find the estimated distance traveled by the marshmallow.

Answer 2

The estimated distance traveled through the air by the marshmallow is approximately 5 meters.

Step-by-step explanation:

To calculate the estimated distance traveled through the air by the marshmallow, we can use the principles of projectile motion. When the marshmallow is launched from the launcher, it follows a parabolic trajectory. The horizontal distance traveled by the marshmallow can be determined using the formula:

Horizontal distance = Initial velocity x Time of flight

Since the problem does not provide the initial velocity or the time of flight, we cannot directly calculate the exact distance. We can estimate the distance by assuming reasonable values for these quantities. Let's assume the marshmallow is launched with an initial velocity of 10 m/s and the time of flight is approximately 0.5 seconds. Plugging these values into the formula will give us an estimated horizontal distance of 5 meters.

Therefore, the estimated distance traveled through the air by the marshmallow is approximately 5 meters.