Explanation:
formula: Vi = Vf - (at)
Vi: intial velocity
Vf: final velocity
a: acceleration
t: time
fill in formula with the numbers you are given
Vi= 41.6m - ((9.81 m/s^2)(1.89s))
parenthesis first according to pemdas
Vi= 41.6m - 18.54m/s
Answer: 23.06m/s
disclaimer: I havent done physics in awhile so I have no idea if this is right. just an attempt to help steer you in the right direction hopefully. good luck
As given the formula of range is

now for the maximum range


now for half of this maximum range we will have


now from above we have

so two possible values for above is given as

so above two angle we will have half of maximum range
Answer:
A. 42.3 revolution per minute
B. Centripetal Force
Explanation:
20 g = 0.02 kg
5 cm = 0.05 m
Let g = 9.8 m/s2
A.The friction force acting on the eraser is the product of normal force and its coefficient:

For the eraser to begin slipping, its centripetal acceleration must win over the acceleration created by friction force, which is

We can calculate the angular velocity from this:

where r = 0.05 is the radius of rotation, which is distance from the center to the eraser


If it spins and angle of 4.43 rad per second then for every minute (60 seconds) it would spin an angle of 4.43 * 60 = 265.6 rad/min
Since 1 revolution is 2π rad, then in a minute it would spin 265.6 / 2π = 42.3 revolution/minute
B. The force responsible for making the eraser go faster while the turntable is spinning up would be the centripetal force.
By using the scientific method