A car given in Figure 1 has a mass of1500kg. It starts moving from restwith an accelera-tion ofa1= (0.5t)m/s2, wheretis given astime in seconds. It accelerates for15seconds, andthen it travels for30seconds at constantspeed. Then, suddenly the driver of the car sees a wall,and starts breaking with constantacceleration ofa2=−4m/s2for8seconds. Unfortunately,the car hits the wall.a)Drawa−t,v−tands−tgraphs for the car until it collideswith wall, and calculate thespeed (vimpact) that the car hits the wall . Clearly indicate your calculation steps.b)The front bumper of the car can be is modelled as a simple linear spring with constantk, as shown in Figure 1. Using the impact speed,vimpact, that you found in the first part of thequestion above, find the value ofknecessary to stop the car when the bumper is compressed15cm.Note:Neglect the size, and shape of the car, and model the car as a particle
A car given in Figure 1 has a mass of1500kg. It starts moving from restwith an accelera-tion ofa1= (0.5t)m/s2, wheretis given astime in seconds. It accelerates for15seconds, andthen it travels for30seconds at constantspeed. Then, suddenly the driver of the car sees a wall,and starts breaking with constantacceleration ofa2=−4m/s2for8seconds. Unfortunately,the car hits the wall.a)Drawa−t,v−tands−tgraphs for the car until it collideswith wall, and calculate thespeed (vimpact) that the car hits the wall . Clearly indicate your calculation steps.b)The front bumper of the car can be is modelled as a simple linear spring with constantk, as shown in Figure 1. Using the impact speed,vimpact, that you found in the first part of thequestion above, find the value ofknecessary to stop the car when the bumper is compressed15cm.Note:Neglect the size, and shape of the car, and model the car as a particle.
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