Use the values of a and b below for Questions 1 and 2.
a = -2i + 4j
b = 3i – j
- Find a unit vector with the same direction as a.
- Find the dot product of a and b.
Set your TI-83 to Radian mode.
-
On the t-interval [0, 4
], graph the vector-valued function
r(t) = (tcost) i + (t sint) j.
Use the following instructions and information for Questions 4-7.
Switch your TI-83 to Degree mode.
A projectile is launched from the ground with an initial velocity of 210 ft/sec at an angle of 35° from the horizontal. Use a Tstep of 0.1 and let g = 32.
- Graph the path of the projectile using parametric equations and use the Trace feature to estimate the time when the projectile reaches its highest point.
- Estimate the position vector when the projectile is at its highest point. Interpret the result.
- Estimate the velocity vector when the projectile is at its highest point. Interpret the result.
- What is the acceleration vector when the projectile is at its highest point? Interpret the result.
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