A small rocket is fired directly upwards with an initial velocity of 100m/s. How many seconds will it take to reach its maximum height?
use kinematics:
initial velocity will be 100m/s and final velocity is zero. and the gravity is 9.8m/ss
A SMALL ROCKET IS FIRED UPWARDS WITH AN INITIAL VELOCITY OF 100M/S. HOW MANY SECONDS WILL IT TAKE TO REACH ITS MAXIMUM HEIGHT? SHOW WORK
9.8m/ss
To determine the time it takes for the rocket to reach its maximum height, we need to consider the rocket's initial velocity and the acceleration due to gravity.
First, let's calculate the time it takes for the rocket to reach its highest point. At the maximum height, the velocity of the rocket will be zero (assuming no air resistance).
We can use the following kinematic equation to find the time:
v = u + at
where:
v = final velocity (0 m/s)
u = initial velocity (100 m/s)
a = acceleration (due to gravity, approximately -9.8 m/s^2, as it acts in the opposite direction to the motion of the rocket)
t = time
Rearranging the equation, we have:
t = (v - u) / a
Substituting the values into the equation:
t = (0 - 100) / -9.8
t = 10.2 seconds (approximately)
So, it will take approximately 10.2 seconds for the rocket to reach its maximum height.