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 (v_o = 0 m/s) and it travels a distance of, d, down the ramp. Use 1-D kinematics to predict the velocity of the ball (v_f ) 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 your answer in variables (you will calculate the velocity with magnitudes when you perform the experiment).

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.

3. Use the result from Question 2 to write general equation for the distance travelled by a projectile that is rolling off a table of height, h, with a horizontal speed, v_0x.

View 1M11% v Zoom & Add Page & o B @ @ 3@ Insert Table Chart Text Shape Media Comment 2-D Kinematics and Projectile Motion EXPERIMENT 1: DISTANCE TRAVELED BY A PROJECTILE Data Sheet Table 1. Range and Velocity of Projectile at Ramp Distance 1 Ramp Incline (degrees) 110 Degrees Ramp Distance (m): ' 24cm 1 48 cm 2 47.8cm 3 46.5cm 4 47.5cm Average 47.45cm Table 2. Range and Velocity of Projectile at Ramp Distance 2 Ramp Distance (m): 16 cm Measured Distance (m) 1 38.1cm 2 383cm 3 38.2cm 4 38.4cm Average 38.25 5 words s eScience Labs, 2018 Share & Format B Document View 201% v Zoom 7 Add Page = e B O @ U] Insert Table Chart Text Shape Media Comment Share 2-D Kinematics and Projectile Motion Table 3. Range and Velocity of Projectile at Ramp Distance 3 Ramp Distance (m): 8 cm 1 26.7 cm 2 26.6 cm 3 271 cm 4 26.8cm Average 26.8 cm Post-Lab Questions 1. Use your predictions of velocity and range from the Pre-Lab Questions and the data recorded from your experiment to co.....22" % %, & B Format Document