33. When slam-dunking, a basketball player seems to hang in the air at the height of...

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33. When slam-dunking, a basketball player seems to hang in the air at the height of his jump. The height h(t), in meters above the ground, of a basketball player at time f. in seconds since the start of a jump, is given by h(t)=-4.9t² +4.9Tt. where T' is the total time in seconds that it takes to com plete the jump. For a jump that takes 1 second to com plete, how much of this time does the basketball player spend at the top 25% of the trajectory? (Hint: Find the maximum height reached. Then find the times at which the height is 75% of this maximum.] 33. When slam-dunking, a basketball player seems to hang in the air at the height of his jump. The height h(t), in meters above the ground, of a basketball player at time f. in seconds since the start of a jump, is given by h(t)=-4.9t² +4.9Tt. where T' is the total time in seconds that it takes to com plete the jump. For a jump that takes 1 second to com plete, how much of this time does the basketball player spend at the top 25% of the trajectory? (Hint: Find the maximum height reached. Then find the times at which the height is 75% of this maximum.]