Physics (acceleration)

1. Jasmine rode a horse down a path headed north. she started from rest and then accelerated at 0.5 m/s2 for 12 seconds and then travelled at a constant speed for 28 seconds.
a.) what was her velocity after 12 seconds?
b.) what was jasmines displacement after 10 seconds?
c.) how far did Jasmine travel during her 40 s ride?
d.) draw a velocity time graph for her motion

2. Bryce can ride his bicycle at an average speed of 18 m/s and Ally rides with an average speed of 23 m/s. ally gives bryce a 200 m Headstart in a 1 km (1000m) race. use a distance time graph to solve the following questions:
a.) who wins the race? explain your answer
b.) how many meters separate the 2 cyclists at the end of the race?

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  1. 1.

    a.)

    Vf=Vi +at

    Where

    Vf=?
    Vi=0m/s
    a=0.5m/s^s
    t=12s

    Solve for Vf:

    Vf=0m/s +(0.5m/s^2)*(12s)

    Vf=6m/s

    b.)

    d=Vi*t + 1/2at^2

    Where

    d=?
    Vi=0m/s
    a=0.5m/s^s
    t=10s

    Solve for d:

    d=0m/s*(12s) + 1/2(0.5m/s^2)(10s)^2

    d=0 +25m

    d=25m

    c.)

    d=Vi*t + 1/2at^2

    Where

    d=?
    Vi=0m/s
    a=0.5m/s^s
    t=40s

    Solve for d:

    d=0m/s*(12s) + 1/2(0.5m/s^2)(40s)^2

    d=0 +400m

    d=400m

    d.)

    Plot distance Vs velocity

    x axis =displacement and y=velocity

    2.

    ****Plot distance on the x-axis and time (distance/velocity) on the y-axis.

    ***Remember, Bryce only has to travel 800m.


    a.)

    d=r*t

    Where

    r=velocity
    t=?
    and
    d=displacement.

    Bryce

    d=800m
    r=18m/s
    t=?

    800=18m/s*t

    t=800m/18m/s

    t=44.4s

    Ally

    d=1,000m
    r=23m/s
    t=?

    1,000m=23m/s*t

    t=1,000m/23m/s

    t=43.5s

    Ally wins.

    b.)
    Bryce wins the race in 43.4s. How far is Ally from the finish line when Bryce reaches the finish line?

    d=18 m/s*43.4s

    d1=781.2m

    Total distance=d1+d2=781.2m + 200m=981.2m

    1,000m-981.2m=18.8m=19.0m is the distance that separates them when the race ends.

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    posted by Devron
  2. Typo correction. Look for ^&***" for correction .

    1.

    a.)

    Vf=Vi +at

    Where

    Vf=?
    Vi=0m/s
    a=0.5m/s^s
    t=12s

    Solve for Vf:

    Vf=0m/s +(0.5m/s^2)*(12s)

    Vf=6m/s

    b.)

    d=Vi*t + 1/2at^2

    Where

    d=?
    Vi=0m/s
    a=0.5m/s^s
    t=10s

    Solve for d:

    d=0m/s*(12s) + 1/2(0.5m/s^2)(10s)^2

    d=0 +25m

    d=25m

    c.)

    d=Vi*t + 1/2at^2

    Where

    d=?
    Vi=0m/s
    a=0.5m/s^s
    t=40s

    Solve for d:

    d=0m/s*(12s) + 1/2(0.5m/s^2)(40s)^2

    d=0 +400m

    d=400m

    d.)

    Plot distance Vs velocity

    x axis =displacement and y=velocity

    2.

    ****Plot distance on the x-axis and time (distance/velocity) on the y-axis.

    ***Remember, Bryce only has to travel 800m.


    a.)

    d=r*t

    Where

    r=velocity
    t=?
    and
    d=displacement.

    Bryce

    d=800m
    r=18m/s
    t=?

    800=18m/s*t

    t=800m/18m/s

    t=44.4s

    Ally

    d=1,000m
    r=23m/s
    t=?

    1,000m=23m/s*t

    t=1,000m/23m/s

    t=43.5s

    Ally wins.

    b.)
    ^&***" Ally wins the race in 43.4s. How far is Bryce from the finish line when Ally reaches the finish line?" ***^&

    d=18 m/s*43.4s

    d1=781.2m

    Total distance=d1+d2=781.2m + 200m=981.2m

    1,000m-981.2m=18.8m=19.0m is the distance that separates them when the race ends.

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    posted by Devron
  3. Thank u so much :)

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    posted by Samaira

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