On Mars, if you hit a baseball, the height of the ball at time "t" would be modelled by the quadratic function h=-1.85t^2+20t+1, where t is in seconds and h is in metres. When will the ball hit the ground?

Question

Mathematics

Anika Short

4 September, 04:01

On Mars, if you hit a baseball, the height of the ball at time "t" would be modelled by the quadratic function h=-1.85t^2+20t+1, where t is in seconds and h is in metres. When will the ball hit the ground?

+1

Answers (2)

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Aron Porter · Answer 1

Set 0 = 1.85t^2 + 20t + 1, where this is the time the ball will hit the ground, yields never.

This is a parabola that starts at (0,1) and never comes down.

Compare this to Earth's gravity where the equation has - 16t^2 generally as the coefficient of x^2 which shows gravity is acting downward. + 1.85 shows Mars gravity acts upward, which probably isn't true.

Ishaan Foster · Answer 2

The function of distance is given in terms of time.

if you differentiate the function w. R. t. time,

you will get the function of velocity.

now, when velocity is 0, the hieght will be maximum. you can find the time by putting V as 0.

and time of flight will be twice of that time.