The position of a dragonfly that is flying parallel to the ground is given as a function of time by r⃗ =[2.90m+(0.0900m/s2)t2]i^− (0.0150m/s3)t3j^. at what value of t does the velocity vector of the insect make an angle of 36.0 ∘ clockwise from the x-axis? t=? ?

The velocity vector of the insect make an angle of 36.0° clockwise from the x-axis at t = 2.91 s

Acceleration is rate of change of velocity.

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem!

Given:

To find the velocity function, we will derive the position function above.

Next to calculate the angle , we use this following formula:

The velocity vector of the insect make an angle of 36.0° clockwise from the x-axis at t = 2.91 s

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle