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- 1-A particle is moving with an initial velocity of v, = 24 when t = 0. If it is subjected to a deceleration of when a = -15v³, what its positive velocity component at t = 10 s? a) 0.022 m/s b) 0.007 m/s c) 0.096 m/s d) 0.058 m/s e) 0.011 m/s f) None of them3. A particle is moving along a straight line according to the equation of motion s = t³ – 40t where s is in meters. Calculate the following: (a) The instantaneous velocity at t=5sec. (b) The average velocity during the fourth second. (c) When the particle again comes to rest, what is its acceleration?10) An object has a position given by [2.0 m+ (5.00 m/s)] + [3.0 m - 2.00 m/s2)/2, where quantities 7 are in SI units. What is the speed of the object at time -2.00 s? 10) A) 7.65 m/s B) 7.00 m/s C) 13.0 m/s D) 6.40 m/s E) 9.43 m/s
- An object is projected vertically upwards with a velocity (gr) 1/2. What is the maximum height reached by the object if “R” is the radius of the earth and “g” is the acceleration due to gravity? a) R/2 b) R c) 2R d) 4R2. An object moves along the x-axis with its position measured relative to the origin so that its acceleration at anytime t > 0 is 4 m/s² . The initial velocity is -50 m/s. a. Determine the instantaneous velocity at anytime t. b. What is its velocity after 10 seconds? 15 seconds? b) - 10 m/s ; 10 m/s 10 m/s ANS: a) v(t) = 4t – 502) Ifa space shuttle can ravelat 17,000 miles per hour, how many meters per second does t travel? Given 1 mile = 1.609 km 1 min = 60 seconds 1br = 60 mins Ikm = 1000 m
- Problem 8. A fast duck is flying 20i + 40j Įmi/h at the same altitude as a slow airplane flying with a velocity of ( -80i + 40j mi/h. How fast and in what direction is the duck moving relative to the airplane? a) 100 mi/h, along +î b) 100 mi/h, along -î c) 150 mi/h, along +j d) 150 mi/h, along -ĵ e) 200 mi/h, along +î13 - If the velocity V(t) = 20+4t, find the speed and the acceleration at t=2s. O A) 28 m/s & zero OB) 24 m/s & 4 m/s OC) 24 m/s & zero O D) 28 m/s & 4m/s? O E) Zero & 4m/s2If the scalar velocity of a particle moving on the x-axis is increasing, the particle's velocity and acceleration can be, respectively: A. negative and positive. B. negative and null. C. negative and negative. D. positive and negative. E. positive and null.
- 1. An object is dropped from the top of a 100-m-high tower. Its height above ground after 1 sec is 100-4.97 m. How fast is it falling 2 sec after it is dropped?O 55-65s Starting at timet= 0, an object starts moving along a straight line. Its coordinate in meters is given by: x(t)=7t-5t³, where t is in seconds. When it momentarily stops its acceleration is: O a. -10.25 Ob.-13.66 Oc. 20.49 O d.-20.49 NEXT PAGEQ21. (i) The velocity time (v-t) graph is shown in Figure. 1. Evaluate 25 20 (a) the acceleration for Line-A (b) the distance covered for 10s to 30s [1] [2] 15 10 B D A 40 20 Time (s) 10 30 Figure-1 (ii) Fr²t3 [2] Find the simplest SI unit of z, if Z = m²v² (s/w) paads