Question

A child is running his 59.4 g toy car down a ramp. The ramp is 2.07 m long and forms a 48.8° angle with the flat ground. How long will it take the car to reach the bottom of the ramp if there is no friction?

A) 2.07 seconds
B) 3.78 seconds
C) 4.29 seconds
D) 5.63 seconds

Answer 1

The time it takes for the car to reach the bottom of the ramp, approximately 2.07 meters in length, is calculated to be around 0.70 seconds. This determination considers the influence of gravity on the car's descent, showcasing the rapid nature of the motion down the incline.

Step-by-step explanation:

To calculate the time it takes for the car to reach the bottom of the ramp, we can use the equations of motion. The equation we will use is time = sqrt(2 * distance/acceleration). In this case, the distance is the length of the ramp (2.07 m) and the acceleration is due to gravity (9.8 m/s^2). Plugging the values into the equation, we get time = sqrt(2 * 2.07 / 9.8) ≈ 0.70 seconds. So, the correct answer is not listed among the options provided. The actual time it takes for the car to reach the bottom of the ramp is approximately 0.70 seconds.