Curvilinear Motion: Rectangular Coord

Select the answer for each of the following questions, then press "Mark" at the bottom of the page to receive feedback.
A pen and paper may be required to assist in the answering of some questions.
Questions beginning with "cont...." follow on from the previous question.


1) If v = (8ti + 9t2j) m/s, where t is in seconds, determine the distance from the origin to the particle when t = 1s.

s = ?

One answer only.
   4 m
   5 m
   3 m
   none of the above

2) When t = 0 a particle is at the origin. If its x component of velocity is constant, v = 4m/s, calculate the distance it travels along the x axis in t = 2s.

x = ?

One answer only.
   8 m
   8.5 m
   10 m
   none of the above

3) cont....If its y component of acceleration is ay = 3m/s2, calculate how far it travels along the y axis in t = 2s. When t = 0, vy = 0.

y = ?

One answer only.
   2 m
   5 m
   6 m
   none of the above

4) cont....How far is the particle from the origin in t = 2s?

d = ?

One answer only.
   9 m
   10 m
   12 m
   none of the above

5) A particle travels from A to B in four seconds then from B to C in six seconds. What is the particle's average velocity?

vavg = ?

One answer only.
   (-4i - 3j) m/s
   (-0.4i - 0.3j) m/s
   (0.4i + 0.3j) m/s
   (-0.4i + 0.3j) m/s
   none of the above

6) cont....What is the particle's average speed?

vsp = ?

One answer only.
   2 m/s
   1.5 m/s
   0.7 m/s
   0.5 m/s
   none of the above

7) A ball is thrown horizontally from A with a speed of vA = 6m/s as shown. If it strikes the ground in t = 1s determine the height h.

h = ?

One answer only.
   4.905 m
   9.81 m
   10.9 m
   16.1 m
   none of the above

8) cont....Calculate the range R.

R = ?

One answer only.
   3 m
   4 m
   6 m
   12 m
   none of the above

9) A ball is thrown at an angle of 45o from the horizontal with a speed of vA = 9.81(2)0.5 m/s. Determine the maximum height h it attains.

h = ?

One answer only.
   9.81 m
   4.905 m
   14.72 m
   19.62 m
   none of the above

10) cont....How much time does it take to travel from A to C?

t = ?

One answer only.
   1 s
   4 s
   3 s
   2 s
   none of the above

11) cont....What is the range R?

R = ?

One answer only.
   9.81 m
   14.71 m
   19.62 m
   39.24 m
   none of the above

12) A ball is launched as shown. Select the equation that describes its position y as a function of time.

One answer only.
   y = 10sin45t - (0.5)(9.81)t2
   y = 10sin45t - (2)(9.81)t
   y = 10sin45t + (0.5)(9.81)t2
   y = 10sin45t - (9.81)t2
   none of the above


This test has been created using the CASTLE Toolkit