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Mathematics 16 Online
OpenStudy (anonymous):

acceleration due to gravity is -32 ft/s2. a ball is thrown upwards from the surface of the earth with an initial velocity of 16 ft/s. what is its velocity when it hits the ground.

OpenStudy (anonymous):

v(t) = a*t +vo

OpenStudy (anonymous):

x(t)= 1/2 a t^2 +vo *t + xo

OpenStudy (anonymous):

a- acceleration vo- initial velocity xo- initial height

OpenStudy (anonymous):

t- time

OpenStudy (anonymous):

surface would mean xo = 0 initial velocity has been defined as 16 ft/s and acceleration of gravity is given by -32 ft/s^2

OpenStudy (anonymous):

first determine the time when the ball hits the ground that means x(t) =0 so solve for t once you've determined the time the ball hits the ground, use the velocity equation (1st equation) to determine the speed at which it hits the ground

OpenStudy (anonymous):

this is the general way to solve the problem there are much easier and much quicker ways to solve it, such as using conservation of energy

OpenStudy (anonymous):

can u tell me whether the value will be t=1 or not?

OpenStudy (anonymous):

@completeidiot

OpenStudy (anonymous):

looks like it

OpenStudy (anonymous):

velocity = -16?

OpenStudy (anonymous):

yup it hits the ground at the same speed it left the ground

OpenStudy (anonymous):

thanks for your help.

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