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UCB - MCD4550 - Engineering Numerical Analysis - Trimester 2 - 2025
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Whilst accelerating along a stretch of road, the Monash Formula SAE car has a velocity described by the equation v = 0.01s2 m/s, where s is the displacement of the car in metres. If the stretch of road is 100 metres in length, what is the acceleration of the car at the end of the road, in m/s2?
A test projectile is fired horizontally into a viscous liquid with a speed 𝑣𝑜. The retarding force is proportional to the square of the speed, such that that the acceleration 𝑎 = −𝑘𝑣2.
In deriving an expression for v(x) which kinematic equation you will use?
A test projectile is fired horizontally into a viscous liquid with a speed 𝑣𝑜. The retarding force is proportional to the square of the speed, such that that the acceleration 𝑎 = −𝑘𝑣2.
In deriving an expression for v(x) which kinematic equation you will use?
Whilst accelerating along a stretch of road, the Monash Formula SAE car has a velocity described by the equationv = 0.01s2 m/s,where s is the displacement of the car in metres. If the stretch of road is 100 metres in length, what is the acceleration of the car halfway down the road?
A test projectile is fired horizontally into a viscous liquid with a speed 𝑣𝑜. The retarding force is proportional to the square of the speed, such that that the acceleration 𝑎 = −𝑘𝑣2.
In deriving an expression for v(x) which kinematic equation you will use?
Whilst accelerating along a stretch of road, the Monash Formula SAE car has a position described by the equation
s = t4 m/s,
where t is the time in motion in seconds. What is the acceleration of the car after t = 2 seconds?
Whilst accelerating along a stretch of road, the Monash Formula SAE car has a velocity described by the equation v = 5t2 m/s, where t is the time spent moving in seconds. What is the difference in the acceleration of the car at t = 5 seconds, compared to t = 2 seconds?
A vehicle has a velocity vector described in a standard cartesian co-ordinate system. The vector makes an angle of 60 degrees with the positive x-axis. What are the horizontal (x) and vertical (y) components of velocity, if the velocity magnitude is 10 m/s?
What is the value of y(1) for the following ODE using the midpoint method given y(0)=0 and h=0.5?
What is the value of dy/dx at x = 0.4 for the following ODE using the midpoint method given y(0)=0 and h=0.2?