(Get solution or answer for) During a hard sneeze, your eyes might shut for 0.46 s. If you are driving a car at 95 km/h during such a sneeze, how far...

Question

During a hard sneeze  your eyes might shut for nbsp 0 46 nbsp s  nbsp If you are driving a car at nbsp 95 nbsp km h nbsp during such a sneeze  how far does the car move during that time The position of an object moving in a straight line is given by nbsp x nbsp   nbsp 4t nbsp   nbsp 3t2 nbsp   nbsp 5t3  where nbsp x nbsp is in meters and nbsp t nbsp in seconds  nbsp  a  What is the position of the object at nbsp t nbsp   1 s  What is the position of the object at nbsp t nbsp   2 s  What is the position of the object at nbsp t nbsp   3 s  What is the position of the object at nbsp t nbsp   4 s  nbsp  b  What is the object s displacement between nbsp t nbsp   0 s and nbsp t nbsp   4 s   Indicate the direction with the sign of your answer   nbsp  c  What is the average velocity for the time interval from nbsp t nbsp   2 s to nbsp t nbsp   4 s   Indicate the direction with the sign of your answer   nbsp  d  Graph nbsp x nbsp versus nbsp t nbsp for 0 s nbsp   nbsp t nbsp   nbsp 4 s and indicate how the answer for  c  can be found on the graph  nbsp 3 At a certain time a particle had a speed of nbsp 19 nbsp m s in the positive nbsp x nbsp direction  and nbsp 2 9 nbsp s later its speed was nbsp 29 nbsp m s in the opposite direction  What is the average acceleration of the particle during this nbsp 2 9 nbsp s interval  nbsp 4 An electron with initial velocity nbsp v0 nbsp   nbsp 2 70 nbsp   nbsp 105 nbsp m s enters a region 1 0 cm long where it is electrically accelerated  It emerges with velocity nbsp v nbsp   nbsp 6 70 nbsp   nbsp 106 nbsp m s  What was its acceleration  assumed constant   Such a process occurs in old-fashioned television sets   nbsp 5 An electric vehicle starts from rest and accelerates at a rate of nbsp 2 6 nbsp m s2 nbsp in a straight line until it reaches a speed of nbsp 25 nbsp m s  The vehicle then slows at a constant rate of 1 0 m s2 nbsp until it stops   a  How much time elapses from start to stop   b  How far does the vehicle travel from start to stop  nbsp 6 Raindrops fall nbsp 1715 nbsp m from a cloud to the ground   a  If they were not slowed by air resistance  how fast would the drops be moving when they struck the ground  nbsp  b  Would it be safe to walk outside during a rainstorm  nbsp 7 The figure below gives the acceleration nbsp a nbsp versus time nbsp t nbsp for a particle moving along an nbsp x nbsp axis  At nbsp t nbsp   nbsp  2 0 s  the particle s velocity is nbsp  30 nbsp m s  What is its velocity at nbsp t nbsp   nbsp 5 0 nbsp s  nbsp 8 A rock is dropped from a nbsp 330 nbsp m high cliff   a  How long does it take to fall the first nbsp 165 nbsp m   b  How long does it take to fall the second nbsp 165 nbsp m  nbsp 9 Compute your average velocity in the following two cases   a  You walk nbsp 75 8 nbsp m at a speed of 1 22 m s and then run nbsp 75 8 nbsp m at a speed of 3 05 m s along a straight track   b  You walk for nbsp 1 91 nbsp min at a speed of 1 22 m s and then run for nbsp 1 91 nbsp min at 3 05 m s along a straight track   c  Graph nbsp x nbsp versus nbsp t nbsp for part  a  and indicate how the average velocity is found on the graph Graph nbsp x nbsp versus nbsp t nbsp for part  b  and indicate how the average velocity is found on the graph 10  The position function nbsp x t  of a particle moving along an nbsp x nbsp axis is nbsp x nbsp   nbsp 4 2 nbsp   nbsp 7 7t2  with nbsp x nbsp in meters and nbsp t nbsp in seconds   a  At what time does the particle  momentarily  stop   b  Where does the particle  momentarily  stop   c  At what negative time does the particle pass through the origin   d  At what positive time does the particle pass through the origin   e  Graph nbsp x nbsp versus nbsp t nbsp for the range nbsp  5 s to  5 s  nbsp  f  To shift the curve nbsp leftward nbsp on the graph  should we include the term nbsp  20t nbsp or the term  20t nbsp in nbsp x t   g  Does that inclusion increase or decrease the value of nbsp x nbsp at which the particle momentarily stops  nbsp 11  If the position of a particle is given by nbsp x nbsp   nbsp 33t nbsp   nbsp 9t3  nbsp where nbsp x nbsp is in meters and nbsp t nbsp is in seconds  answer the following questions   a  When  if ever  is the particle s velocity zero   Enter the value of nbsp t nbsp or  never     b  When is its acceleration nbsp a nbsp zero  nbsp  c  When is nbsp a nbsp negative  d  When is nbsp a nbsp positive  e  Graph nbsp x t   nbsp v t   and nbsp a t   nbsp  Submit a file with a maximum size of nbsp 1 MB   nbsp 12  A muon  an elementary particle  enters a region with a speed of nbsp 5 15 nbsp   nbsp 106 nbsp m s and then is slowed at the rate of nbsp 1 45 nbsp   nbsp 1014 nbsp m s2   a  How far does the muon take to stop   b  Graph nbsp x nbsp versus nbsp t nbsp for the muon Graph nbsp v nbsp versus nbsp t nbsp for the muon  nbsp 13  A hoodlum throws a stone vertically downward with an initial speed of nbsp 12 2 nbsp m s from the roof of a building  nbsp 39 0 nbsp m above the ground   a  How long does it take the stone to reach the ground   b  What is the speed of the stone at impact  nbsp 14 How far does the runner whose velocity-time graph is shown below travel in nbsp 12 nbsp s

Amit Agarwal · Accepted Answer

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