Pre Lab Questions 1 In one of your experiments you will roll a marble down a ramp to provide an initial horizontal velocity Suppose you start the marble at rest vo 0 m s and it travels a distance of d down the ramp Use 1 D kinematics to predict the velocity of the ball vf at the bottom of the ramp Hint the acceleration of the ball down the ramp is 9 81 sin m s2 where is the angle of the ramp Record you answer in variables you will calculate the velocity with magnitudes when you perform the experiment From law of conservation of energy Energy at top is equal to the energy at the bottom Vo 0 m s Angle of ramp is theta acceleration a g sin Third equation of motion Vf2 uo2 2 a d Vf2 2 9 81 sin d Vf 4 43 sqrt d sin 2 Use the kinematic equations to derive a general equation for the time it takes a ball dropped from rest at vertical height h to reach the ground Second equation of motion h u t 0 5 a t2 h 0 5 g t2 t sqrt 2 h g 2014 eScience Labs LLC All Rights Reserved 3 Use the result from Question 2 to write a general equation for the distance travelled by a projectile that is rolling of a table of height h with a horizontal speed v0x Distance travelled t V0x Distance travelled sqrt 2 h g V0x 4 The range of projectiles is dependent on the velocity and angle of the launch Use the kinematic equations to show the range of a projectile launched at velocity v and angle is equal to Hint The velocity at the beginning and end of the motion has the same magnitude but opposite direction Range V0x time of flight V cos theta 2 v sin theta g 2V2 sin theta cos theta g V2 sin 2 theta g 2014 eScience Labs LLC All Rights Reserved
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