a cliff diver falling at 9.8 m/s2 takes 1.5 seconds to hit the water. How high is the cliff?
cech
To find the height of the cliff, we can use the equation of motion:
h = 1/2 * g * t^2
Where:
h is the height of the cliff,
g is the acceleration due to gravity, approximately 9.8 m/s^2,
t is the time taken to reach the water.
Plugging in the given values:
g = 9.8 m/s^2
t = 1.5 s
h = 1/2 * (9.8 m/s^2) * (1.5 s)^2
h = 1/2 * 9.8 m/s^2 * 2.25 s^2
h = 1/2 * 9.8 m/s^2 * 2.25
h = 1.125 * 9.8 m^2/s^2
h = 11.025 m
Therefore, the height of the cliff is approximately 11.025 meters.