Answer:
Vi = 5.42 [m/s]
t = 0.55 [s]
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]v_{f} ^{2} =v_{o} ^{2} -(2*g*y)[/tex]
where:
Vf = final velocity = 0 (At maximum elevation the coin doesn't move)
Vi = initial velocity [m/s]
g = gravity acceleration = 9.81 [m/s²]
y = elevation = 1.5 [m]
Note: The negative sign in the above equation means that the direction of the gravity acceleration is acting against the movement of the coin when it is going up.
0 = (Vi)² - (2*9.81*1.5)
29.43 = (Vi)²
Vi = 5.42 [m/s]
The time we can find it using the next equation also from kinematics.
[tex]v_{f} =v_{i} -g*t\\[/tex]
0 = 5.42 - 9.81*t
t = 5.42/9.81
t = 0.55 [s]
