. Two vectors are given by-6.0 400 and 6- -20i+1.0 -7.0 -In unit vector notation

Question

. Two vectors are given by-6.0 400 and 6- -20i+1.0 -7.0 -In unit vector notation calculate a b What is such that a b-0. A ball is hit at an initial velocity of 32.0 m/sec at an angle of 35 degrees above the horizon. Calculate The horizontal range, R, and At -2.50 sec The x- and y-components of its velocity Magnitude of velocity Angle of its velocity vector with the horizontal x, and y coordinates The time it takes for the ball to hit the ground The x- and y-components of its velocity when it hits the ground The angle of its velocity vector with the horizontal when it hits the ground

Explanation / Answer

A+ B= (6-2)i + (-4+1)j + (1-7)k= 4i - 3j - 6k

C= B-A= (-2-6)i +(1-(-4))j + (-7-1)k = - 8i + 5j - 8k

============

Range,

R= u^2 sin (2x)/g= 32^2 sin 70/9.8= 98.19 m

-------

Vy= u sin 35 - gt= 32 sin 35- 9.8* 2= -1.246 m/s

Vx= u cos 35= 26.21 m/s

Angle= arctan (Vy/Vx)= 2.72 degress below horizontal

x = 26.21*2= 52.42 m

y= 32 sin 35*2 - 0.5*9.8* 2^2= 17.11 m

---------

Time of flight, T= 2u sinx /g= 2* 32* sin 35/9.8= 3.746 second

Vy= - u sin x= 32 sin 35= 18.354 m/s

Vx= u cos x= 26.21 m/s

Angle= arctan(18.354/26.21)= 35 degress below horizontal

=======

Comment in case any doubt.. good luck

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.