A certain freely falling object, released from rest, r f equires 1.95s to travel

Question

A certain freely falling object, released from rest, r f equires 1.95s to travel the last 24.5 m before it hits the ground when it is 24.5 m above the ground. (Indicate the direction with the sign of your anawer. Lot the positive direction be uw) m/s (b) Find the total distance the object travels during the fall Need Help? Roxt My Notes As You as concussion results when the head undergoes a very large acceleration l Generally, an acceleration less than 800 m/s lasting for any length of time will Traumatic brain injury such cause injury, whereas an acceleration greater than 1,000 m/ hardwood, the child's head is brought to rest in approximately 1.7 mm. If the velocity greater or less than the speed you calculate hardwood floor magnitude hardnood floor duration carpeted floor magnitude carpeted floor duration a lasting for at least I ms will cause injury. Suppose a small chi ld rolls off a bed that is 0.53 m above the floor. If the floor is distance is increased to about 1.3 cm. Calculate the magnitude and duration determine the risk of Injury. Assume the child remains horizontal during the fall to the foor Note that a more complicated fall could result in a head 3 22 our response differs significantly from the correct answer Rework your solution from the beginning and check each stop carefully ne m/s ms Need Help?Roki

Explanation / Answer

1]

a] Use h = ut + (1/2)at2

=> 24.5 = u(1.95) + (1/2)(9.8)(1.95)2

=> u = 3.01 m/s [answer - a]

now use v = u + at

b] v = 3.01 + 9.8(1.95) = 22.12 m/s

this is the velocity of the object just before hitting the ground.

Now use conservation of energy

(1/2)mv2 = mgH

=> H = [22.122/(2 x 9.8)] = 24.962 m

this is the total distance the object travels during the fall. [answer - b].

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