If a baseball is batted at an angle of 35° to

the ground, the distance the ball travels

can be estimated using the equation

d = 0.0034s2 + 0.004s - 0.3, where s is the

bat speed, in kilometres per hour, and d is

the distance flown, in metres. At what speed

does the batter need to hit the ball in order

to have a home run where the ball-flies

125 m? Round to the nearest tenth.

The batter need to hit the ball at a speed 191.4 kmph

Step-by-step explanation:

We have distance flown, in meters

d = 0.0034s² + 0.004s - 0.3

where s is the bat speed, in kilometres per hour.

We need to find s when d = 125 m.

Substituting

d = 0.0034s² + 0.004s - 0.3

125 = 0.0034s² + 0.004s - 0.3

0.0034s² + 0.004s - 125.3 = 0

s = 191.38 kmph or s = - 192.56 kmph (Not possible)

The batter need to hit the ball at a speed 191.4 kmph