What is the position vector, rtarget, that originates from the balloon's original position and terminates at the target? Put this in terms of h and d, and represent it as a vector using i and j?

Answer :

The position vector is

Explanation :

Given that,

Height = h

Distance = d

Suppose, A student throws a water balloon with speed v₀ from a height h = 1.98 mat an angle θ = 21° above the horizontal toward a target on the pound. The target is located a horizontal distance d = 65 in from the student's feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position

We know that,

The initially position vector is

The final position vector is

We need to calculate the position vector

Using formula of position vector

Put the value into the formula

Hence, The position vector is