A child operating a radio-controlled model car on a dock accidentally steers it off the edge. The car's displacement 0.95 s after leaving the dock has a magnitude of 6.7 m. What is the car's speed at the instant it drives off the edge of the dock?
displacement?
displacement is the change in position from top of dock to the place it hit. You can figure the vertical distance from the time fallng.
vertical fall=1/2 g t^2 solve for that.
displacemetn^2=verticalfall^2 + horizntaldistance^2
so solve that for horizontaldistance, you know the other two.
now,
speed*.95=horionaldistance
now solve for speed.
To find the car's speed at the instant it drives off the edge of the dock, we can use the following formula:
Speed = Displacement / Time
In this case, the displacement of the car is given as 6.7 m, and the time it takes for the car to travel that distance is 0.95 s.
Plugging these values into the formula, we can calculate the speed:
Speed = 6.7 m / 0.95 s
Now, let's solve the equation:
Speed = 7.05 m/s
Therefore, the car's speed at the instant it drives off the edge of the dock is 7.05 m/s.