Question

Optimus Prime is flying straight up at 24 m/s when he accidentally drops his mega-ray blaster and it falls 94 m to the ground below. Calculate how long it takes for his mega-ray blaster to hit the ground.

Answer 1

The time it will take the mega-ray blaster to hit the ground is 2.57 s.

Step-by-step explanation:

Given;

initial velocity of Optimus Prime, u = 24 m/s

height of fall of the mega-ray blaster, h = 94 m

The time of fall of the mega-ray blaster is calculated using the following kinematic equation;

`h = ut + (1)/(2)gt^2\\\\94 = 24t + (1)/(2)(9.8)t^2\\\\94 = 24t + 4.9t^2\\\\4.9t^2 +24t -94 = 0\\\\Use \ formula \ method \ to \ solve \ for \`

`t = 2.57 \ s \ \ or \ \ t = -7.47 \ s`

t = 2.57 s

Therefore, the time it will take the mega-ray blaster to hit the ground is 2.57 s.