Question 1 A stone is thrown from ground level at 71 m/s. Its speed when it reac

Question

Question 1

A stone is thrown from ground level at 71 m/s.
Its speed when it reaches its highest point is
53 m/s.
Find the angle, above the horizontal, of the stone’s initial velocity.
Answer in units of

Question 2

A football is thrown at an angle 26 above the
horizontal. Assume the players throwing and
receiving the ball have the same height.
The acceleration of gravity is 9.8 m/s2 .
To throw a 27.7 m pass, what must be the
initial speed of the ball?
Answer in units of m/s

Question 3

A particle moving at a velocity of 6.1 m/s in
the positive x direction is given an accelera-
tion of 5.3 m/s2 in the positive y direction for
1.6 s.
What is the final speed of the particle?
Answer in units of m/s

Question 4

A ball is thrown straight upward and returns
to the thrower’s hand after 1.8 s in the air. A
second ball is thrown at an angle of 56 with
the horizontal.
At what speed must the second ball be
thrown so that it reaches the same maximum

Explanation / Answer

1) cos-1(53/71)41.7o

2) =26o==>range=27.7 m=vox*t=Vo2*sin(2*)/g==>(27.7*9.8/sin(2*26o))/g

(27.7*9.8/sin(52o))18.56 m/s

3) vox=vx=6.1 m/s==>ay=5.3 m/s2==>vyfinal=0+5.3*1.6=8.48 m/s

(8.482+6.12)10.45 m/s

4) max ht t=voy/g==>voy=t*g=0.9*9.8=8.82 m/s==>8.822/(2*9.8)3.969 m max ht

(15.86*sin(56o))/(2*9.8)8.82 m for y value

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