Question

**3. A helicopter travelling at a velocity of 15 m/s [W]
accelerates uniformly at a rate of 7.0 m/s2 [E] for 4.0 s. What is
the helicopter’s final velocity?**

**4. Two go-carts, A and B, race each other around a 1.0
km track. Go-cart A travels at a constant speed of 20.0 m/s.
Go-cart B accelerates uniformly from rest at a rate of 0.333 m/s2 .
Which go-cart wins the race and by how much time?**

**5. A boat increases its speed from 5.0 m/s to 7.5 m/s
over a distance of 50.0 m. What is the boat’s
acceleration?**

**6. Within 4.0 s of liftoff, a spacecraft that is
uniformly accelerating straight upward from rest reaches an
altitude of 4.50 3 102 m [up]. T/I (a) What is the spacecraft’s
acceleration? (b) At what velocity is the spacecraft travelling
when it reaches this altitude?**

Answer #1

our guidelines say to solve only one question. Here i solved all. Please upvote my hardwork. Thanks

A race car accelerates uniformly from a speed of 32 m/s to a
speed of 63 m/s in 5.1 s while traveling counterclockwise around a
circular track of radius of 422 m. When the car reaches a speed of
46 m/s, find the magnitude of the total acceleration (centripetal +
tangential acceleration) in m/s2.

A Porsche travelling at a constant velocity of 32 m/s passes a
Mini parked on the side of the road. When the Porsche is 50 m
ahead, the Mini starts accelerating uniformly at 3.5 m/s2 . (1)When
will the Mini catch up to the Porsche ? (2)How fast is the Mini
travelling when it reaches the Porsche ?

A merry-go-round starts from rest and accelerates uniformly over
26.5 s to a final angular velocity of 6.90 rev/min.
(a) Find the maximum linear speed of a person sitting on the
merry-go-round 7.25 m from the center.
(b) Find the person's maximum radial acceleration.
(c) Find the angular acceleration of the merry-go-round.
(d) Find the person's tangential acceleration.

A merry-go-round starts from rest and accelerates uniformly over
19.5 s to a final angular velocity of 6.25 rev/min.
(a) Find the maximum linear speed of a person sitting on the
merry-go-round 4.00 m from the center.
(b) Find the person's maximum radial acceleration.
(c) Find the angular acceleration of the merry-go-round.
(d) Find the person's tangential acceleration.

a) A car accelerates uniformly from rest and reaches a speed of
13.7 m/s in 10.9 s. The diameter of a tire is 71.8 cm. Find the
number of revolutions the tire makes during this motion, assuming
no slipping. Answer in units of rev.
b) What is final rotational speed of a tire? Answer in units of
rev/s.

A model rocket is launched straight upward with an initial speed
of 59.0 m/s. It accelerates with a constant upward acceleration of
2.50 m/s2 until its engines stop at an altitude of 160
m.
(a) What can you say about the motion of the rocket after its
engines stop?
(b) What is the maximum height reached by the rocket?
(c) How long after liftoff does the rocket reach its maximum
height?
(d) How long is the rocket in the air?

A jet starts from rest at t0 = 0 s and travels along the runway
with a constant horizontal acceleration of 1.6 m/s2 . It reaches
its liftoff speed of 80 m/s and takes off.
a. What is the minimum runway length Lmin needed for the jet to
lift off starting from rest?
Lmin =
b. How long does it take to lift off from rest?
t1 - t0 =
c. What is the average velocity of the jet from...

A truck covers 40.0 m in 8.40 s while uniformly slowing down to
a final velocity of 2.20 m/s.
(a) Find the truck's original speed. m/s
(b) Find its acceleration. m/s2

A truck covers 40.0 m in 8.40 s while uniformly slowing down to
a final velocity of 1.50 m/s.
(a) Find the truck's original speed.
(b) Find its acceleration.
m/s2

A train, with an initial velocity of 15 m s−1 along a straight
track, accelerates at a constant 0.25 m s−2. Determine how far it
travels before reaching a velocity of 20 m s−1.
A smooth slope makes an angle of 65o to the horizontal.
Determine the acceleration due to gravity down the slope.
A 20-kg box sits on a flat surface. The coefficient of static
friction is 0.73. Calculate the maximum static friction.
A wheel has a diameter of...

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