Chapter 2 Kinematics in One-Dimension 2. An object starts from rest and accelera

Question

Chapter 2 Kinematics in One-Dimension 2. An object starts from rest and accelerates uniformly in a straight line in the positive x direction. 1I seconds? Aer I1 seconds, its final speed is V- 70.0 m's. How far does the object travel dur'ing the fhrst (a) 35 m (b) 77 m (e) 390 m (c) 770 m (d) 590 m 3. A jogger accelerates from rest to a final speed of Vea 3.0 m/s in 2s. A car accelerates from the initial speed of Vo 38.0 m/s to final speed of V-41.0 m/s in 2.0 s. (a) Find the acceleration (magnitude only) of the jogger (b) Determine the acceleration (magnitude only) of the car (c) Does the car travel a longer distance than the jogger? If so, how much longer?

Explanation / Answer

Using 1st equation of motion

a= (v-u)/t= 70/11

Using 2nd equation of motion

V^2= u^2 + 2ad

70^2= 2* (70/11)*d

d= 385 m

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a)

Acceleration of jogger,

a= (v-u/t= 3/2= 1.5 m/s^2

b)

Acceleration of car,

a= (41-38)/2= 1.5 m/s^2

c)

Distance travelled by jogger

Dj= 0.5*1.5*2^2= 3 m

Distance travelled by car

Dc= 38*2+0.5*1.5*4= 79 m

Distance travelled by car is more than jigger by = 79-3= 76 m

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Comment in case any doubt.. good luck

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