In a car crash, large accelerations of the head can lead to severe injuries or even death. a driver can probably survive an acceleration of 50g that lasts for less than 30 ms, but in a crash with a 50g acceleration lasting longer than 30 ms, a driver is unlikely to survive. imagine a collision in which a driver’s head experienced a 50g acceleration. a. what is the highest speed that the car could have had such that the driver survived?

14.7 m/s

Explanation:

During a crash, a car moving with some initial velocity comes to rest. This means the car undergoes a constant deceleration. So according to the question, we have

Given:

Let us assume that the maximum initial velocity of the car for which the driver still could survive on a crash be u.

During the crash, the car moves with a constant acceleration. so using the equation for a constant acceleration, we have

Hence, the highest speed that the car could have had such that the driver survived is 14.7 m/s.

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y