Question

20. The velocity of a particle moving in positive x-axis
is according to relation v = 14x. If at t = 0
particle is at x = 0, then the velocity and
acceleration at t = 2s are given as
(1) 4 m/s, 4 m/s
(2) 2 m/s, 2 m/s2
(3) 2 m/s, 4 m/s2 (4) 4 m/s, 2 m/s2
​

Answer 1

Answer:

ᴛʜᴇ ᴠᴇʟᴏᴄɪᴛy ᴏꜰ ᴀ ᴩᴀʀᴛɪᴄʟᴇ ᴍᴏᴠɪɴɢ ɪɴ ᴩᴏꜱɪᴛɪᴠᴇ x-ᴀxɪꜱ ɪꜱ ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ʀᴇʟᴀᴛɪᴏɴ ᴠ = 4x. ɪꜰ ᴀᴛ ᴛ = 0 ᴩᴀʀᴛɪᴄʟᴇ ɪꜱ ᴀᴛ x = 0, ᴛʜᴇɴ ᴛʜᴇ ᴠᴇʟᴏᴄɪᴛy ᴀɴᴅ ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ ᴀᴛ ᴛ = 2ꜱ ᴀʀᴇ ɢɪᴠᴇɴ ᴀꜱ (1) 4 ᴍ/ꜱ, 4 ᴍ/ꜱ2 (2) 2 ᴍ/ꜱ, 2 ᴍ/ꜱ2 (3) 2 ᴍ/ꜱ, 4 ᴍ/ꜱ2 (4) 4 ᴍ/ꜱ, 2 ᴍ/ꜱ2

Answer 2

Correct answer is 4 m/sec, 2 m/sec^2