A Projectile Is Launched with an Initial Velocity Of $100 \mathrm{ft} / \mathrm{s}$

A projectile is launched with an initial velocity of $100 \mathrm{ft} / \mathrm{s}$ at an angle of $40^{\circ}$ with the ground. After 1 second, it covers a horizontal distance of 74 feet. After 1.8 seconds, it covers a horizontal distance of $152 \mathrm{ft}$ . Find the rate of change of the horizontal distance traveled with respect to the time traveled in $\mathrm{ft} / \mathrm{s}$ .

A) $82.4 \mathrm{ft} / \mathrm{s}$
B) $60 \mathrm{ft} / \mathrm{s}$
C) $97.5 \mathrm{ft} / \mathrm{s}$
D) $32.5 \mathrm{ft} / \mathrm{s}$