Question

A toy rocket is launched vertically upward from the ground with an initial velocity of 20 meters per second. Assuming air resistance is negligible, what is the maximum height reached by the rocket?

A) 10 meters
B) 20 meters
C) 40 meters
D) 60 meters

Answer 1

To find the maximum height reached by the rocket, we can use the kinematic equation vf^2 = vi^2 + 2ad. Plugging in the given values, we find that the maximum height reached by the rocket is approximately 20.4 meters.

Step-by-step explanation:

To find the maximum height reached by the rocket, we can use the kinematic equation:

vf^2 = vi^2 + 2ad

Where:
vf - final velocity (0 m/s at the maximum height)
vi - initial velocity (20 m/s)
a - acceleration (-9.8 m/s^2)
d - displacement

Plugging in the given values, we get:
0 = 20^2 + 2(-9.8)d

Simplifying the equation, we find:
2(-9.8)d = -400
d = -400 / (2(-9.8)) = 20.4

The maximum height reached by the rocket is approximately 20.4 meters. Therefore, the correct answer is option B) 20 meters.