A batter hits a ball at 96mph96\text{mph} such that the distance dd it travels from the home plate is about d=43td = 43t meters, where tt is the time, in seconds, since the bat hit the ball. For simplicity, suppose the ball travels straight towards an outfielder, whose position is distance d=−2t+60d = -2t + 60 from the home plate at time tt.

In the scenario described above, would the outfielder catch the ball? Assume the outfielder catches the ball as long as he is within half a meter of the ball.

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