4. Formula One racers speed up much more quickly than normal passenger vehicles,
ID: 3279676 • Letter: 4
Question
4. Formula One racers speed up much more quickly than normal passenger vehicles, and they also can stop in a much shorter distance. A Formula One racer traveling at 90 m/s can stop in a distance of 110 m. What is the magnitude of the car's acceleration as it slows during braking? 5. When a jet lands on an aircraft carrier, a hook on the tail of the plane grabs a wire that quickly brings the plane to a halt before it overshoots the deck. In a typical landing, a jet touching down at 240 km/h is stopped in a distance of 95 m. (a) What is the magnitude of the jet's acceleration as it is brought to a rest? (b) How much time does the landing take? 6. Ball bearings can be made by letting spherical drops of molten metal fall inside a tall tower and solidify as they fall. (a) If a bearing needs 4.0 s to solidify enough for impact, how high must the tower be? (b) What is the bearing's impact velocity? 7. Here's ar interesting challenge you can give to your friend: Hold a $1 bill by an upper corner. Have a friend prepare to pinch a lower corner, putting her fingers near but not touching the bill. Tell her to try to catch the bill when you drop it by simply closing her fingers. This seems like it should be easy but it is not. After she sees that you have released the bill, it will take her about 0.25 s to react and close her fingers - which is not fast enough to catch the bill. How much time does it take for the bill to fall beyond her grasp? The length of the bill is 16 cm.Explanation / Answer
4-
Using the equation of motion.
v^2 - u^2 = 2as
Here v= final velocity = 0m/s
u = initial velocity = 90m/s
a acceleration= ?
s= distance = 110m/s
So putting these values in the above equation
0 -90^2 = 2×a×110
a = - 8100/220 = - 36.81 m/s^2
Hence car decelerates at a rate of 36.81 m/s^2.
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