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

answer: 802.3 kilo joules of energy represents 191.75 kilo calorie of energy.

explanation:

energy released during combustion of one mole methane = 802.3 kilo joules

if 1 kilo joule = 0.239006   kilo calorie

then ,802.3 kilo joule will be = 802.30.239006 kilo calorie

802.3 kilo joule = 191.75 kilo calorie

hence, the energy in kilo calorie is 191.75 kilo calorie.