Question

Physies 2414-General Physics I Instruc only if your work is ciea parentheses. tions: Answer each question completely, writing your answers in the space provided. Partial credit will be given, but shwn Auswers not clearhy indicated will be marked as incorrect. Point values are indicated in 1. Prof. Shadbraw's disguise as a mild-mannered physics professor is working perfectly and no one suspects that he's the mastermind of a nefarious plot to take over the world. To put in motion his latest scheme, he steals the T-shirt cannon from the Comblips University cheerleaders. From a position on the roof of Snilloc Alumni Auditorium. a height of 37.8.ml he fires the cannon at an upward angle of 25o, mailing one of a group of hairless baseball players located on the ground a horizontal distance of 63 m from his position. a. (6) How long will the T-shirt be in the air? 25° (6) What is the initial speed of the T-shirt? (6) What maximum height above its initial position will the T-shirt reach? (6) With what velocity will the T-shirt hit the baseball player? b. C. d. 63.0 m

Answer 1

Given is:-

Height h= 37.8 m

Range  

Angle  

θ= 250

Now,

let the initial speed V_o

Then it's components are

similarly

Uoy = Vosint-Vosin (25)

Now,

the time taken by the projectile to reach its target is

R-Vocos(25) × t

or

eq-1

similarly in vertical direction

by plugging the values of t from eq-1 we get

which gives us

which gives us

which gives us

part -b

by plugging this value in eq-1 we get

which gives us

part - a

Part -c

Maximum height can be found out by using third equation of motion which is

by plugging all the values we get

which gives us

Part - d

The final vertical velocity will be

which gives us

and

thus the final velocity will be

by plugging all the values we get

which gives us