Chapter 12, Problem 28P

A race car accelerates uniformly from 20 m/s to 50 m/s in 3 sec. Determine the acceleration of the car ang the distance traveled.

The acceleration of a particle is given by a = 5t - 19, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is so = -6 m, and the initial velocity is vo = 7 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 4.6 s, %3D S = m V = m/s m/s? =

F12–12. The sports car travels along a straight road such that its acceleration is described by the graph. Construct the v-s graph for the same interval and specify the velocity of the car when s= 10 m and s =15 m. a (m/s*) 10 s (m) 15 10

The velocity of a vehicle travelling in a straight line is given by v = (8t-4t^2) in m per second. The vehicle initial position is zero when t = 0 s. Determine the vehicle deceleration and position when t= 10 s. How far has the vehicle traveled during the 10 s time interval and what is it average speed

A sports car travels along a straight road with an acceleration-decelerationdescribed by the graph. If the car starts from rest, determine the distance s’the car travels until it stops. Construct the v-s graph for 0 ≤ S ≤ S′.

A motorcycle moves in a straight road starting from rest with a constant acceleration of 3 m/s². At t = 10s, it starts to travel with a constant velocity for 35 s before it decelerates constantly for a duration of t₁ s until it reaches a complete stop. Given så = 0 m and the total distance travelled is 2.45 km, determine the duration of t₁ a) b) plot the (vt) and (st) graphs c) find the equation of displacements for the time duration 10 s ≤t≤ 45 s

Qr. The position coordinates of a particle moves along a straight line is given by the relation [ x = t - 5t - 8t ]. Determine the time, position and velocity when the acceleration is (a = 32 m/ sec² ). Also, find the traveling distance during the interval from (t 3 sec ) to (t 6 sec ).

The initial velocity of an object is 40 m/s. The acceleration a of the object is given by the following expression: a= -0.1v, where v is the instantaneous velocity of the object. The velocity of the object after 3 seconds will be

A particle moving along the s-axis has a velocity given by v = 22.3 -3.7t² ft/sec, where t is in seconds. When t = 0, the position of the particle is given by so = 3.9 ft. For the first 3.5 seconds of motion, determine the total distance D traveled, the net displacement As, and the value of s at the end of the interval. Answers: Total distance traveled, Net Displacement, The value of s at the end of the interval, D= As = S= i i i ft ft ft