Toy Car Falling from Balcony: Calculating Horizontal Distance

To find the horizontal distance the toy car travels before hitting the ground, we need to calculate the time it takes for the car to fall to the ground first. Then, using this time and the initial horizontal velocity of the car, we can determine the horizontal distance traveled by the car.

In the scenario of the toy car sliding horizontally off the balcony, we can analyze the vertical and horizontal motions separately as they do not impact each other. Since only gravity affects the vertical motion and we are instructed to ignore air resistance, we can calculate the time taken for the toy car to reach the ground using the equation h = 0.5 * g * t^2, where h is the height, g is the acceleration due to gravity (9.8 m/s^2), and t is the time. By solving this equation for t, we can determine the time it takes for the car to fall to the ground.

Once we have the time of fall, we can easily calculate the horizontal distance traveled by the toy car. As there are no horizontal forces acting (assuming air resistance is neglected), the horizontal velocity remains constant at the initial speed of 16.70 m/s. The horizontal distance or range can then be found using the equation d = v * t, where d is the distance, v is the horizontal velocity, and t is the time of flight calculated previously.

By performing these calculations, we will arrive at the answer to the question of how far from the edge of the balcony, along the ground, the toy car hits the ground. The key lies in understanding the independence of vertical and horizontal motions in projectile motion scenarios and applying the equations of motion appropriately to solve for the desired quantities.