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Grade 11Mechanics

A particle moves along the parabolic path 2
y ax  in such a way that the x – component of
the velocity remains constant, say c. The acceleration of the particle is:

Profile image of karan
6 Years agoGrade 11
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2 Answers

Profile image of Arun
6 Years ago
y =ax^2
 
velocity is given by:dy/dt = 2axdx/dt as x component of the velocity remains constant i.e. dx/dt = c
 
Vy = (2ac)x
 
Acceleration is given by:dVy/dt = 2acdx/dt
 
ay = 2ac2y =ax2velocity is given by:dydt = 2ax dx/dt
 
as x component of the velocity remains constant i.e.
 
dxdt = cVy = (2ac)xAcceleration is given by:dVy/dt = 2acdx/dtay = 2ac2  
 
Acceleration has only y component, so acceleration of the particle is in y direction
 
i.e.
 
a→ = 2ac2 j⌢
 
 
Profile image of Vikas TU
6 Years ago
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