A car of mass 1800 kg is moving in a straight line. Fig. 2.1 shows the variation with time $$\(t\)$$ of the momentum $$\(p\)$$ of the car. Fig. 2.1 (i) Calculate the maximum speed reached by the car. maximum speed = ............................................ $$\(\mathrm{m} \mathrm{s}^{-1}\)$$ (ii) Calculate the maximum kinetic energy of the car. maximum kinetic energy $$\(=\)$$ ................................................... J distance = .................................................. m

Physics
IGCSE&ALevel
CAIE
Exam No:9702_w24_qp_21 Year:2024 Question No:2(b)

Answer:



Knowledge points:

3.1.1 define and use distance, displacement, speed, velocity and acceleration
3.1.2 use graphical methods to represent distance, displacement, speed, velocity and acceleration
3.1.3 determine displacement from the area under a velocity-time graph
3.1.4 determine velocity using the gradient of a displacement-time graph
3.1.5 determine acceleration using the gradient of a velocity-time graph
3.1.6 derive, from the definitions of velocity and acceleration, equations that represent uniformly accelerated motion in a straight line
3.1.7 solve problems using equations that represent uniformly accelerated motion in a straight line, including the motion of bodies falling in a uniform gravitational field without air resistance
3.1.8 describe an experiment to determine the acceleration of free fall using a falling body
3.1.9 describe and explain motion due to a uniform velocity in one direction and a uniform acceleration in a perpendicular direction
4.1.1 understand that mass is the property of a body that resists change in motion
4.1.2 recall the relationship F=ma and solve problems using it, appreciating that acceleration and resultant force are always in the same direction
4.1.3 define and use linear momentum as the product of mass and velocity
4.1.4 define and use force as rate of change of momentum
4.1.5 state and apply each of Newton’s laws of motion
6.3.1 derive, from the equations of motion, the formula for kinetic energy
6.3.2 recall and apply the formula
6.3.3 distinguish between gravitational potential energy and elastic potential energy
6.3.4 understand and use the relationship between force and potential energy in a uniform field to solve problems
6.3.5 derive, from the defining equation W = Fs, the formula DEp = mgDh for potential energy changes near the Earth’s surface
6.3.6 recall and use the formula DEp = mgDh for potential energy changes near the Earth’s surface

Solution:

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