A rock is thrown upward with a speed of 12 m/s on the surface of planet X where the acceleration of objects in free fall is 1.5 m/s² and there is no atmosphere.What is the maximum height reached by the laser? A)8.0 m B)18 m C)48 m D)144 m

Question

Quizplus · Accepted Answer

First, we can find the time it takes the rock to reach its maximum height using the kinematic equation: 
h = ut + (1/2)at^2 
where h =  maximum height, u = initial velocity (12 m/s), a = acceleration due to gravity on planet X (-1.5 m/s^2), and t = time at maximum height. 
Setting h = 0 (maximum height), we get: 
0 = 12t - (1/2)(1.5)t^2 
Simplifying and solving for t, we get: 
t = 8 seconds 
Next, we can use the same kinematic equation to find the maximum height: 
h = ut + (1/2)at^2 
Plugging in the values we know, we get: 
h = 12(8) + (1/2)(-1.5)(8)^2 
Simplifying, we get: 
h = 48 meters 
Therefore, the answer is C, 48 meters.

A Rock Is Thrown Upward with a Speed of 12