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Q1. a car starts from rest and accelerates uniformaly around a half circle track

ID: 1760102 • Letter: Q

Question

Q1. a car starts from rest and accelerates uniformaly around a half circle track with radius 150 m. if the cartakes 8.0 seconds to complete the half circle: A. wht's the car's average velocity? B. what's the car's velocity at the end? C. what's the car's acceleration? Q2. when it hits the catcher's mitt, apitched baseball goesfrom 40m/s to 0m/s over a distance of 0.2 m. Assuming constantacceleration: A. what is the acceleration of the baseball? B. what is the average velocity of the baseball during itscontact with the mitt? Q1. a car starts from rest and accelerates uniformaly around a half circle track with radius 150 m. if the cartakes 8.0 seconds to complete the half circle: A. wht's the car's average velocity? B. what's the car's velocity at the end? C. what's the car's acceleration? Q2. when it hits the catcher's mitt, apitched baseball goesfrom 40m/s to 0m/s over a distance of 0.2 m. Assuming constantacceleration: A. what is the acceleration of the baseball? B. what is the average velocity of the baseball during itscontact with the mitt?

Explanation / Answer

   Q1) radius of track, r = 150 m           timetaken, t = 8 s           A)Average velocity = displacement / time = 2 r / t                                                                           = 2 * 150 / 8                                                                            = 37.5 m/s          B) averagevelocity = ( u + v) / 2                    where u = initial velocity = 0                                v = final velocity                  37.5 = v / 2                       v = 75 m / s         C)  Acceleration, a = (v - u) / 2                                       = 37.5 m/s 2       Q2)      u= initial velocity = 0 m/s                   v = final velocity = 40 m/s                    s = distance = 0.2 m           A) acceleration, a = (v 2 - u 2) / 2 s                                        =1600 / 0.4 = 4000 m/s 2           B)Average velocity, V av = (u + v) / 2 = 20 m/s                          Q2)      u= initial velocity = 0 m/s                   v = final velocity = 40 m/s                    s = distance = 0.2 m           A) acceleration, a = (v 2 - u 2) / 2 s                                        =1600 / 0.4 = 4000 m/s 2           B)Average velocity, V av = (u + v) / 2 = 20 m/s           B)Average velocity, V av = (u + v) / 2 = 20 m/s