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UCB - MCD4550 - Engineering Numerical Analysis - Trimester 2 - 2025
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A ball is rolling down the road at Wheeler’s Hill. Is the acceleration it experiences, as it rolls down the road, "constant acceleration"?
The Hogwarts Express travels at m/s, where t is the elapsed time in seconds. Determine the acceleration (in m/s2) it achieves in 3 s.
A box is sliding down the road at Wheeler’s Hill. Is the acceleration it experiences, as it slides down the road, "constant acceleration"?
Tests reveal that a normal driver takes about 0.75 s before he or she can react to a situation to avoid a collision. It takes about 3 s for a driver having 0.1% alcohol in his system to do the same. If the driver with 0.1% alcohol is travelling on a straight road at 72 km/h (20 m/s) and his car can decelerate at 1 m/s2, determine the shortest stopping distance (d) from the moment he see the pedestrians.
A sandbag is dropped from a Jules Verne hot air balloon, which is ascending vertically at a constant speed of 6 m/s. If the bag is releasedwith the same upward velocity of 6 m/s when t=0 and hits the ground when t=8 s, determine the altitude of the balloon at this instant (when the bag hits the ground).Use g=9.81 m/s2 in your calculation.
The puffing billy train starts from rest at Belgrave station and accelerates at 0.5 m/s2 for 60 s. Afterwards, it travels with a constant velocity for 15 min. It then decelerates at 1 m/s2 until it is brought to rest at Gembrook station B. Determine the distance (in m) between the stations.
Tests reveal that a normal driver takes about 0.75 s before he or she can react to a situation to avoid a collision. It takes about 3 s for a driver having 0.1% alcohol in his system to do the same. If the normal driver is travelling on a straight road at 72 km/h (20 m/s) and his car can decelerate at 1 m/s2, determine the shortest stopping distance (d) from the moment he see the pedestrians.
A box is given an initial push along a surface in an Engineering laboratory, and then slows to a stop. Is the acceleration it experiences, as it slows to a stop, "constant acceleration"?
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?