Answer:a)45cos40 b)45sin40 c) 2.95 d)102
Explanation:
a)
b)
c) Since air resistance is negligible, the only force acting on the golf ball is gravity. Thus, its vertical acceleration is -<em>g</em>. We know the final velocity must be 0 m/s, because this will be when the golf ball reaches the maximum height and starts to change direction (it falls back to the ground). We also know initial velocity in the vertical direction (see part b). Thus, we can use this equation: .
d) The horizontal distance traveled is dependent on (1) how long the ball is in the air and (2) what the horizontal velocity is. (1) was found in part c, and (2) was found in part a.
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<u>Here Given,</u>
Mass = 100 gram
Change in temperature = -45°C - 15°C => -55°C
Specific heat of glass (c) = 0.800J/g°C
★Heat Energy (Q) = mc∆t
➙ 100g × (-55)°C × 800/1000 J/g°C
➙ 10 × (-55) × 8
➙ -4400 J
★ Hence, Heat Energy is required to cause this change -4400 J = <u>4400J</u>
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<span>The sum of the speeds is 9.44 m/s + 9.44 m/s which is 18.88 m/s
Note that the sum of the speeds of the two stones is always 18.88 m/s because as the upward moving stone loses speed, the downward moving stone gains the same amount of speed each unit of time.
We can find the time for the stones to meet.
t = d / v
t = 5.39 m / 18.88 m/s
t = 0.285487 seconds
We can use the upward moving stone to find the height y.
y = v0 t + (1/2) a t^2
y = (9.44 m/s)(0.285487 s) - (1/2) (9.8 m/s^2) (0.285487 s)^2
y = 2.30 m
The two stones cross paths a height of 2.30 meters above the base of the cliff.</span>
Answer:
The resultant velocity of the plane relative to the ground is;
150 kh/h north
Explanation:
The flight speed of the plane = 210 km/h
The direction of flight of the plane = North
The speed at which the wind is blowing = 60 km/h
The direction of the wind = South
Therefore, representing the speed of the plane and the wind in vector format, we have;
The velocity vector of the plane = 210.
The velocity vector of the wind = -60.
Where, North is taken as the positive y or direction
The resultant velocity vector is found by summation of the two vectors as follows;
Resultant velocity vector = The velocity vector of the plane + The velocity vector of the wind
Resultant velocity vector = 210. + (-60.) = 210. - 60. = 150.
The resultant velocity vector = 150.
Therefore, the resultant velocity of the plane relative to the ground = 150 kh/h north.