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a car starts from rest and has an accelartion a=root(t). a truck is moving with a uniform velocity of 4m/sec. at what distance will the car overtake the truck?

a car starts from rest and has an accelartion a=root(t). a truck is moving with a uniform velocity of 4m/sec. at what distance will the car overtake the truck?

Grade:11

1 Answers

Vikas TU
14149 Points
7 years ago
For the car integerating two times to get the displacement eqn. as:
dv/dt = root(t)
v = 2t^(3/2)/3
and
dx/dt = 2t^(3/2)/3
x = 4t^(5/2)/15
For the truck,
x = 4t
solving both eqn.s we get,
t = 225^(1/3)
for the distance put t in x we get as:
x = 4*(225)^(1/3)

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