## anonymous one year ago A baseball is hit almost straight up into the air with a speed of 22m/s. Estimate how high it goes and how ling it is in the air

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1. anonymous

looks like "almost straight up" should be considered as 90º angle for the initial velocity, i.e. only y-component, in such case the velocity for the ball at any time is: $v(t)=v_0-gt$ in this case $$v_0=22m/s$$ the height of the ball at anytime is given by: $y(t)=y_0+v_0t-\frac{1}{2}gt^2$ to determine the time it takes to get to the highest point $$H$$ we can set the speed to 0, since at that point the ball stops for an instant: $v_0-gt=0$ with the time we get from that eq. we can calculate $$H$$ using the equation for $$y(t)$$ give it a try!