A car is going south on i-69 at 33 ms 74 mph the car has

Question

Compute each part of given question:

Question: A car is going south on I-69 at 33 m/s (74 mph). The car has good brakes so its maximum braking acceleration is 4.5 m/s². Traffic has come to a stop in all lanes 120 m ahead.

Part A: If the driver reacts in 0.50 s, what acceleration will be needed for the car to stop?

Part B: If the driver sending a text message and doesn't see the stopped traffic for 25s can the car stop before running into the stationary vehicles? (In this case, the total reaction time is 3 s.)

Part C: If the car cannot stop in time, what is the impact speed? Convert your final answer into miles per hour.

Please show solution step by step with detailed explanation.