You first us 1/2(mv^2) to solve for the potential energy and then put that in to PE=m*g*h and solve for hight
Answer:
15.7 m/s
Explanation:
The motion of the cannonball is a accelerated motion with constant acceleration g = 9.8 m/s^2 towards the ground (gravitational acceleration). Therefore, the velocity of the ball at time t is given by:

where
u = 0 is the initial velocity
g = 9.8 m/s^2 is the acceleration
t is the time
If we substitute t=1.6 s into the equation, we find the final velocity of the cannonball:

Answer: A) 
Explanation:
The equation for the moment of inertia
of a sphere is:
(1)
Where:
is the moment of inertia of the planet (assumed with the shape of a sphere)
is the mass of the planet
is the radius of the planet
Isolating
from (1):
(2)
Solving:
(3)
Finally:
Therefore, the correct option is A.
Answer:
The horizontal distance d does the ball travel before landing is 1.72 m.
Explanation:
Given that,
Height of ramp 
Height of bottom of ramp 
Diameter = 0.17 m
Suppose we need to calculate the horizontal distance d does the ball travel before landing?
We need to calculate the time
Using equation of motion




We need to calculate the velocity of the ball
Using formula of kinetic energy



Using conservation of energy



Put the value into the formula


We need to calculate the horizontal distance d does the ball travel before landing
Using formula of distance

Where. d = distance
t = time
v = velocity
Put the value into the formula


Hence, The horizontal distance d does the ball travel before landing is 1.72 m.