Suppose an astronaut can jump vertically with an initial velocity of 5 m/s. The time that it takes him to touch the ground is given by the equation 0 = 5t - 0.5at2. The time t is in seconds and the acceleration due to gravity a is in m/s2. How long will it take him to reach the ground if he jumps on Earth where a = 9.8 m/s2?

Step-by-step explanation:

Given Equation:

Actually the given equation is the 2nd equation of motion

i.e.

where because the astronaut jumps on the earth

and initial velocity

to find time , put the given value of in the given equation, we get

it will take to reach the ground if he jumps on the Earth

4.0 ft

step-by-step explanation:

4.0 ft