Question

Hi i need help asap!!!

Answer 1

(a) The initial horizontal component of the pumpkin's velocity is 16 m/s.

(b) the initial vertical component of the pumpkin's velocity is 0 m/s.

(c) It will take approximately 1.1 seconds for the pumpkin to reach the ground.

The initial horizontal component of the pumpkin's velocity is equal to the initial velocity because the pumpkin is launched horizontally. So, the initial horizontal component of the pumpkin's velocity is 16 m/s.

Since the pumpkin is launched horizontally, the initial vertical component of the pumpkin's velocity is 0 m/s.

The time it takes for the pumpkin to reach the ground can be calculated using the equation of motion:

`$$t = \sqrt{(2h)/(g)}$$`

where h is the height from which the pumpkin is launched (6.0 m in this case) and g is the acceleration due to gravity (approximately 9.8 m/s²). Substituting the given values, we get:

`$$t = \sqrt{(2 * 6.0)/(9.8)} \approx 1.1 \text{ seconds}$$`

So, it will take approximately 1.1 seconds for the pumpkin to reach the ground.