Question 1 (25 points) Mike the Georgia State Patrolman is the first to respond to a vehicle accident where a driver hit a deer. After making sure no one is seriously injured, he assesses the situation. If the skid marks are 76 feet long and Mike assumes the drag factor is 0.8, what is the minimum speed Mike knows the driver was going when he hit the brakes? a) 42.7 mph b) 32.8 mph c) 46.4 mph d) 37.9 mph

## Step 1The formula to determine the speed of a vehicle based on skid marks is given by:### Where: = speed of the vehicle (in feet per second) = drag factor (given as 0.8) = acceleration due to gravity (approximately 32.2 ft/s ) = skid mark length (given as 76 feet)## Step 2Plugging in the given values:### ## Step 3Calculating the above expression gives the speed in feet per second. First, compute the value inside the square root:### Then,### feet per second## Step 4To convert this to miles per hour (mph), multiply by a factor of :### mph## Step 5The calculated speed is approximately 42.7 mph, which corresponds to option a).