Question

In: Math

Margot is walking in a straight line from a point 40 feet due east of a...

Margot is walking in a straight line from a point 40 feet due east of a statue in a park toward a point 34 feet due north of the statue. She walks at a constant speed of 4 feet per second.

(a) Write parametric equations for Margot's position t seconds after she starts walking. (Round your coefficients to four decimal places as needed.)

(b) Write an expression for the distance from Margot's position to the statue at time t. (Round your coefficients to four decimal places as needed.)

(c) Find the times when Margot is 36 feet from the statue. (Round your answers to two decimal places)

Solutions

Expert Solution


Related Solutions

I take my dogs on an afternoon walk. We leave my house, walking due East for...
I take my dogs on an afternoon walk. We leave my house, walking due East for 4 km. We then walk 3.5 km at an angle of 35 degrees West of North. Finally, we ealk 5.4 km at an angle of 15 degrees West of South. If I were to walk along a straight path that wuld take us back to my house, how far and in what direction should I walk?
Assume that the bullet is fired due East at a latitude of 40° N, velocity is...
Assume that the bullet is fired due East at a latitude of 40° N, velocity is 30 m/s, and distance from target is 10m. Find the amount by which it misses hitting the center on the target due to the Coriolis force, vertical and horizontal.
A proton moving at 40 m/s due East collides with another proton at rest. Assume the...
A proton moving at 40 m/s due East collides with another proton at rest. Assume the collision is elastic and glancing. After the collision, one proton moves 30◦ south of East. Find the magnitude an direction of the other proton after the glancing collision
A proton moving at 40 m/s due East collides with another proton at rest. Assume the...
A proton moving at 40 m/s due East collides with another proton at rest. Assume the collision is elastic and glancing. After the collision, one proton moves 30◦ south of East. Find the magnitude an direction of the other proton after the glancing collision
A rubber ball is tossed straight up from a height of 10 feet with a velocity...
A rubber ball is tossed straight up from a height of 10 feet with a velocity of 78 feet per second. The first time it hits the ground (y = 0), it rebounds with a velocity of 64 feet per second2 . The second time it hits the floor, it rebounds with a velocity of 48 feet per second. Before the first bounce 1. Find the function y = h1(t) for the height of the ball before its first bounce....
at time t=0, a particle is located at the point(4,8,7). it travels in a straight line...
at time t=0, a particle is located at the point(4,8,7). it travels in a straight line to the point (7,1,6), has speed 7 at (4,8,7) and constant acceleration 3i-7j-k. Find an equation for the position vector r(t) of the particle at time
A person starts walking from home and walks: 3 miles East 5 miles Southeast 6 miles...
A person starts walking from home and walks: 3 miles East 5 miles Southeast 6 miles South 2 miles Southwest 3 miles East A. Find the total displacement vector for this walk: _ i+_ j B. If this person walked straight home, they'd have to walk ___ Miles
Bob throws a ball straight up with an initial speed of 46 feet per second from...
Bob throws a ball straight up with an initial speed of 46 feet per second from a height of 77 feet. (a) Find parametric equations that describe the motion of the ball as a function of time. (b) How long is the ball in the air? (c) When is the ball at its maximum height? Determine the maximum height of the ball. (d) Simulate the motion of the ball by graphing the equations found in part (a). Assume Bob stands...
Three point charges lie along a straight line as shown in the figure below, where q1...
Three point charges lie along a straight line as shown in the figure below, where q1 = 5.58 µC, q2 = 1.54 µC, and q3 = -1.88 µC. The separation distances are d1 = 3.00 cm and d2 = 2.00 cm. Calculate the magnitude and direction of the net electric force on each of the charges. Three charges lie along a horizontal line. Positive charge q1 is on the left. Positive charge q2 is a distance d1 to the right...
Three point charges lie along a straight line as shown in the figure below, where q1...
Three point charges lie along a straight line as shown in the figure below, where q1 = 6.12 µC, q2 = 1.57 µC, and q3 = -2.08 µC. The separation distances are d1 = 3.00 cm and d2 = 2.00 cm. Calculate the magnitude and direction of the net electric force on each of the charges. (a) q1? (b) q2? (c) q3?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT