Question 1

A cart is initially moving at $$0.5\ \mathrm{m/s}$$ along a track and comes to rest after traveling $$1\ \mathrm{m}. If $$the same cart is now moving at $$1\ \mathrm{m/s} on $$the same track, how far will it travel before coming to rest, assuming the same constant deceleration?

Accepted Answer

$$2\ \mathrm{m}$$

Question 2

A student measures the time for a plastic ball to fall from a height of $$3\ \mathrm{m}$$ and finds it to be $$35\%$$ greater than predicted using $$g = 9.80\ \mathrm{m/s^2$}. $$What is the most likely cause of this error?

Accepted Answer

Air resistance reduces the downward acceleration.

Question 3

Which of the following pairs of graphs best represents the distance traveled versus time and the speed versus time for an object uniformly accelerated from rest?

Accepted Answer

Option (A): Distance is a parabola, speed is a straight line with positive slope.

Question 4

A sprinter covers the first $$10\ \mathrm{m} of a$$ $$100\ \mathrm{m}$$ dash in $$2\ \mathrm{s}$$, starting from rest and accelerating uniformly. What is the sprinter's acceleration during the first $$2\ \mathrm{s}$$?

Accepted Answer

$$5\ \mathrm{m/s^2$}$$

Question 5

For the sprinter in the previous question, what is the velocity after $$2\ \mathrm{s}$$?

Accepted Answer

$$10\ \mathrm{m/s}$$

Question 6

A ball is kicked at $$20\ \mathrm{m/s} at an $$angle of $$37^\circ$$ above the horizontal from a point $$32\ \mathrm{m}$$ away from a $$2.5\ \mathrm{m}$$ high fence. What is the initial vertical component of the velocity?

Accepted Answer

$$20\sin 37^\circ = 12\ \mathrm{m/s}$$

Question 7

For the same ball in the previous question, what is the time it takes to reach the plane of the fence?

Accepted Answer

$$t = \frac{32}{20\cos 37^\circ}$$

Question 8

Which object moves with constant non-zero acceleration according to the velocity-time graphs shown for Object A and Object B?

Accepted Answer

Neither A nor B

Question 9

Which object is farthest from the origin at $$t = 2\ \mathrm{s}$$ according to the velocity-time graphs?

Accepted Answer

B

Question 10

Which object is in its initial position at $$t = 2\ \mathrm{s}$$ according to the velocity-time graphs?

Accepted Answer

A

Question 11

A projectile is launched horizontally from a $$20\ \mathrm{m}$$ high cliff. Neglecting air resistance, how long does it take to hit the ground? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.02\ \mathrm{s}$$

Question 12

A car accelerates uniformly from rest to $$20\ \mathrm{m/s} in$$ $$5\ \mathrm{s}. $$What is the acceleration?

Accepted Answer

$$4\ \mathrm{m/s^2$}$$

Question 13

A ball is thrown straight up with an initial velocity of $$15\ \mathrm{m/s}. $$What is the maximum height reached? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$11.5\ \mathrm{m}$$

Question 14

A car travels at $$30\ \mathrm{m/s}$$ for $$10\ \mathrm{s}$$, then at $$10\ \mathrm{m/s}$$ for $$20\ \mathrm{s}. $$What is the average speed for the entire trip?

Accepted Answer

$$20\ \mathrm{m/s}$$

Kinematics, Acceleration, and Motion Graphs – Step-by-Step Physics Guidance

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